Mathematics Notes for 9th Class Exercise 14.1

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Mathematics Notes for 9th Class Exercise 14.1

“Math” a compulsory subject for 9th class Science students. and Mathematics Notes for 9th Class Exercise 14.1 or Math Notes Class 9 English Medium (Science Group) included in this book.

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Math Ch#14, 9th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

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Welcome

You Should Enter your Name

1 / 12

________ has no unit.

2 / 12

Equality of _____ ratio is defined as proportion.

3 / 12

______ altitudes of equilateral triangle are congruent.

4 / 12

If a : b=c : d then a, b, c and d are said to be in _____

5 / 12

The line segment has only ___ point of bisection

6 / 12

In two similar triangles, ______ sides are proportional

7 / 12

______  points can be determine a line.

8 / 12

Symbol to show similarity is used ________

9 / 12

One and only one line can be drawn through _____ points.

10 / 12

Unit of ratio is __________

11 / 12

The ratio between two quantities “a and b” is expressed as _______

12 / 12

If adjacent angles of two intersecting lines are congruent then lines are ____ to each other.

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



Mathematics Notes for 9th Chapter # 14:

Math Notes Class 9:

9th class math notes chapter 14, 9th class math solution chapter 14 pdf, math notes class 9 chapter 14, Math Notes Class 9 Exercise 14.1, exercise 14.1 class 9, Mathematics Notes for 9th Class Exercise 14.1 then this post is specially for you and your future. 

9th Class Math MCQs Chapter-14

Ratio and Proportion:

If you are searching the topic “9th Class Math Solution” & “9th Class Math MCQs Chapter-14” for matric classes then, you are on the right place, because we are providing the Quality material for education of Students and their problems.

Class 9 Math MCQs Chapter-14:

MCQs from Text Book Exercise and others included in this Practice panel. By practicing again and again, Student can get good practice on this topic “Ratio and Proportion” i.e. 9th Class Math MCQs Chapter-14.

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Math Ch#14, 9th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 12

Unit of ratio is __________

2 / 12

If adjacent angles of two intersecting lines are congruent then lines are ____ to each other.

3 / 12

Symbol to show similarity is used ________

4 / 12

________ has no unit.

5 / 12

______ altitudes of equilateral triangle are congruent.

6 / 12

In two similar triangles, ______ sides are proportional

7 / 12

If a : b=c : d then a, b, c and d are said to be in _____

8 / 12

One and only one line can be drawn through _____ points.

9 / 12

The ratio between two quantities “a and b” is expressed as _______

10 / 12

______  points can be determine a line.

11 / 12

The line segment has only ___ point of bisection

12 / 12

Equality of _____ ratio is defined as proportion.

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Math Solution 9th Class (Science Group)

Exercise 1.1           (English)            (Urdu)


Exercise 1.2           (English)            (Urdu)


Exercise 1.3           (English)            (Urdu)


Exercise 1.4           (English)            (Urdu)


Exercise 1.5           (English)            (Urdu)


Exercise 1.6           (English)            (Urdu)


Exercise 1-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 2.1           (English)            (Urdu)


Exercise 2.2           (English)            (Urdu)


Exercise 2.3           (English)            (Urdu)


Exercise 2.4           (English)            (Urdu)


Exercise 2.5           (English)            (Urdu)


Exercise 2.6           (English)            (Urdu)


Exercise 2-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 3.1           (English)            (Urdu)


Exercise 3.2           (English)            (Urdu)


Exercise 3.3           (English)            (Urdu)


Exercise 3.4           (English)            (Urdu)


Exercise 3-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 4.1           (English)            (Urdu)


Exercise 4.2           (English)            (Urdu)


Exercise 4.3           (English)            (Urdu)


Exercise 4.4           (English)            (Urdu)


Exercise 4-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 5.1           (English)            (Urdu)


Exercise 5.2           (English)            (Urdu)


Exercise 5.3           (English)            (Urdu)


Exercise 5.4           (English)            (Urdu)


Exercise 5-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 6.1           (English)            (Urdu)


Exercise 6.2           (English)            (Urdu)


Exercise 6.3           (English)            (Urdu)


Exercise 6-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 7.1           (English)            (Urdu)


Exercise 7.2           (English)            (Urdu)


Exercise 7.3           (English)            (Urdu)


Exercise 7-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 8.1           (English)            (Urdu)


Exercise 8.2           (English)            (Urdu)


Exercise 8.3           (English)            (Urdu)


Exercise 8-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 9.1           (English)            (Urdu)


Exercise 9.2           (English)            (Urdu)


Exercise 9.3           (English)            (Urdu)


Exercise 9-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 10.1           (English)            (Urdu)


Exercise 10.2           (English)            (Urdu)


Exercise 10.3           (English)            (Urdu)


Exercise 10.4           (English)            (Urdu)


Exercise 10-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 11.1           (English)            (Urdu)


Exercise 11.2           (English)            (Urdu)


Exercise 11.3           (English)            (Urdu)


Exercise 11.4           (English)            (Urdu)


Exercise 11.5           (English)            (Urdu)


Exercise 11-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 12.1           (English)            (Urdu)


Exercise 12.2           (English)            (Urdu)


Exercise 12.3           (English)            (Urdu)


Exercise 12-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 13.1           (English)            (Urdu)


Exercise 13.2           (English)            (Urdu)


Exercise 13-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 14.1           (English)            (Urdu)


Exercise 14.2           (English)            (Urdu)


Exercise 14-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 15           (English)            (Urdu)


Exercise 15-Rev   (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 16.1           (English)            (Urdu)


Exercise 16.2           (English)            (Urdu)


Exercise 16-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions

Exercise 17.1           (English)            (Urdu)


Exercise 17.2           (English)            (Urdu)


Exercise 17.3           (English)            (Urdu)


Exercise 17.4           (English)            (Urdu)


Exercise 17.5           (English)            (Urdu)


Exercise 17-Rev      (English)            (Urdu)


Online Practice/ Test - MCQs & Short Questions


9th Math Science Group (English Medium)


9th Math Science Group (Urdu Medium)


9th Math Arts Group (Urdu Medium)



9th Class Math Solution:

We know, the importance of mathematics study in every class is important for students, such like students of 9th Class & 10th Class or other classes. If we talk Matric Classes Student of Science Classes or Arts classes, Math is equally important for both Classes.

Every Student of 9th & 10th Class is trying to search the topic like “9th Class math solution pdf”, 10th Class Math Solution PDF”, 9th Class Math MCQs Chapter-06, 9th Class Math Notes Chapter-14, Class 9 Math MCQs Chapter-14.

 

Class 9 Mathematics  Chapter-Wise MCQs


Category: 09th Math Startup

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Math Ch#15, 9th Class

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1 / 19

If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a ____ triangle.

2 / 19

If an isosceles right angles triangle, angle other than right angle is each of ______

3 / 19

If adjacent angles of two intersecting lines are congruent then lines are _____

4 / 19

How many obtuse angles in a triangle?

5 / 19

If 3cm and 4cm are two sides of a right angled triangle, then hypotenuse is _____

6 / 19

Which of the following are the sides of a right angle triangles?

7 / 19

If two sides of a triangle are unequal in length, the angle of the longer side opposite to it is of means____

8 / 19

In a scalene triangle, the angle opposite to the largest side of measure ___

9 / 19

If a, b and c are the sides of obtuse angle triangle, then the value of hypotenuse c is ____

10 / 19

Ratio between two elements “a and b” is represented as ______

11 / 19

If one acute angled triangle is 25°, the other acute angle is _______

12 / 19

Angle for the minimum distance of a point “p” from the line segment AB will be _____

13 / 19

Two sides of a triangle measure 12cm and 16cm, which of the following measure is possible for the third side.

14 / 19

Point of intersection of the median of a triangle divides then ratio __________

15 / 19

Which of the following are the sides of a right angle triangles?

16 / 19

Similar means that their corresponding angles are congruent and corresponding sides are___

17 / 19

Which one of the following sets form a triangle?

18 / 19

If ΔABC and ΔDEF are two similar triangles, then symbolically they are written as _____

19 / 19

A line segment has how many mid points?

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Math Ch#16, 9th Class

Here MCQs for your Revision

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Welcome

You Should Enter your Name

1 / 17

The _____ of a triangle is the part of the plane enclosed by the triangle.

2 / 17

Perpendicular from vertex of a angle to its opposite sides is called ______

3 / 17

Any diagonal of a parallelogram divides it in two _____ triangles

4 / 17

Perpendicular distance between two parallel lines is _______ different.

5 / 17

If a and b are length and breadth of a rectangle then its area is _______

6 / 17

Area of parallelogram is equal to the ____ of the base and height.

7 / 17

Every diagonal of a parallelogram divides it in ____ congruent triangles.

8 / 17

A rectangular region can be divided in two or more rectangular region by ____ ways.

9 / 17

Area of a triangular region can be calculated as __________

10 / 17

Parallelogram on equal and having the same / equal altitude are ____ in area.

11 / 17

A quadrilateral having each angle 90 degree is called _____

12 / 17

Area of _______ is equal to = Base x Altitude

13 / 17

Congruent figures are ____ in area.

14 / 17

The region enclosed by the bounding lines of a closed figure is called _______

15 / 17

A triangular region means the _____ of triangle and its interior.

16 / 17

Altitude of any triangle is perpendicular distance from _____ to opposite side.

17 / 17

The unit of area is _____________

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Math Ch#1, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

Good Luck. . . .  (:

Welcome

You Should Enter your Name

1 / 38

Product of \begin{bmatrix} 2 & 0\\ 0 & 1 \end{bmatrix}\begin{bmatrix} -3 & 0\\ 0 & 4 \end{bmatrix} is ______ (Select correct option)

  1. \begin{bmatrix} -6 & 0\\ 0 & 4 \end{bmatrix}
  2. \begin{bmatrix} 6 & 0\\ 0 & 4 \end{bmatrix}
  3. \begin{bmatrix} 6 & 0\\ 0 & -4 \end{bmatrix}
  4. \begin{bmatrix} -6 & 0\\ 0 & -4 \end{bmatrix}

2 / 38

If \begin{bmatrix} a+3 & 5\\ 6 & 4 \end{bmatrix} = \begin{bmatrix} 5 & 5\\ 6 & 4 \end{bmatrix} , then "a" is equal to ____

3 / 38

If A=\begin{bmatrix} 4 & 5 \end{bmatrix} and B = [ 5 ], then the which product is possible ?

4 / 38

\begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} Matrix is called _________

5 / 38

Let A and B are two matrices of the same order and A+B=0, then A and B are said to be _____ of each other.

6 / 38

A matrix is called a square matrix if its order is _____

7 / 38

(AB)ˉ¹ = ______

8 / 38

if X + \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} , then X is equal to ________

A = \begin{bmatrix} 2 & 2\\ 2 & 0 \end{bmatrix}

B = \begin{bmatrix} 0 & 2\\ 2 & 2 \end{bmatrix}

C = \begin{bmatrix} 2 & 0\\ 0 & 2 \end{bmatrix}

D = \begin{bmatrix} 2 & 2\\ 0 & 2 \end{bmatrix}

9 / 38

Two matrices are said to be confirmable for _______ if they have same order.

10 / 38

The Matrix \begin{bmatrix} 1 & 2 \end{bmatrix} is a ______ Matrix.

11 / 38

Adjoint of \begin{bmatrix} 1 & 2\\ 0 & -1 \end{bmatrix} is ________

A = \begin{bmatrix} -1 & -2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & -1 \end{bmatrix}

D = \begin{bmatrix} -1 & 0\\ 2 & 1 \end{bmatrix}

12 / 38

If A, B and C are three matrices such that AB=C, then ________ (Which is possible)

13 / 38

Which is order of a square matrix?

14 / 38

[ 5 ] is a matrix with order ______

15 / 38

Order of Matrix \begin{bmatrix} 3\\ -1\\ 6 \end{bmatrix} is _______

16 / 38

Additive Inverse of \begin{bmatrix} 1 & -2\\ 0 & -1 \end{bmatrix} is ______

A = \begin{bmatrix} 1 & 2\\ 0 & 1 \end{bmatrix}

B = \begin{bmatrix} -1 & -2\\ 0 & -1 \end{bmatrix}

C = \begin{bmatrix} -1 & 2\\ 0 & 1 \end{bmatrix}

D = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}

17 / 38

If for Matrix At = -A, then Matrix A is Called ______

18 / 38

A square matrix in which non-diagonal elements are zero, whereas all diagonal elements are equal is called _______

 

19 / 38

If A is a Square Matrix and At =A, than A is called ________

20 / 38

Product of \begin{bmatrix} x & 4 \end{bmatrix}\begin{bmatrix} 2\\ -1 \end{bmatrix} is _____

21 / 38

The order of Matrix \begin{bmatrix} 2 & 1 \end{bmatrix} is _______

22 / 38

If \begin{vmatrix} 3 & -1\\ 0 & x \end{vmatrix}  = 3, then x is equal to _______

23 / 38

Matrix A + B can be found, if ________________

24 / 38

Inverse of a Matrix A is equal to ________

25 / 38

Adjoint of \begin{bmatrix} 2 & 1\\ -1 & -3 \end{bmatrix} is ________

  1. \begin{bmatrix} -3 & -1\\ 1 & 2 \end{bmatrix}
  2. \begin{bmatrix} 3 & -1\\ 1 & 2 \end{bmatrix}
  3. \begin{bmatrix} -3 & 1\\ 1 & -2 \end{bmatrix}
  4. \begin{bmatrix} 2 & 1\\ 1 & 3 \end{bmatrix}

26 / 38

Order of transpose of \begin{bmatrix} 2 & 1\\ 0 & 1\\ 3 & 2 \end{bmatrix} is _______

27 / 38

In Matrix multiplication, in general, A.B ___ B.A

28 / 38

A matrix obtained by interchanging Rows and Columns, is called _______ of matrix

29 / 38

The order of a matrix [ 1   2 ] is _____

30 / 38

Matrix \begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ______

31 / 38

The Matrix of the same order _____ satisfy commutative law under addition.

32 / 38

\begin{bmatrix} \sqrt{2} & 0\\ 0 & \sqrt{2} \end{bmatrix} is called ____ Matrix

33 / 38

A square Matrix A is said to be _____ matrix if |A|=0.

34 / 38

Two Materices A and B are confirmable for multiplication if ______

35 / 38

\begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix} is called _________

36 / 38

if \begin{vmatrix} 2 & 6\\ 3 & x \end{vmatrix} = 0 then x is equal to ________

37 / 38

An Identity Matrix (Unity Matrix) is always a _____

38 / 38

A Matrix is called _______ , if number of rows and columns are equal

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Revise / Test Your MCQs

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Math Ch#5, 09th Class

Here MCQs for your Revision

For Good Revision & Grip on Concept, You Should take the MCQs and Revise it again and again

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Welcome

You Should Enter your Name

1 / 15

Factors of 3x^{2}-x-2 are __________

2 / 15

Factored form of x^{2}-16 is ___________

3 / 15

(x+y)(x^{2}-xy+y^{2}) = ................

  • (x^{3}-y^{3})
  • (x^{3}+y^{3})
  • (x+y)^{3}
  • (x-y)^{3}

(Select Correct Option)

4 / 15

Factors of a^{4}-4b^{4} are _________

  • (a-b), (a+b), (a^{2}+4b^{2})
  • (a-b), (a+b), (a^{2}-4b^{2})
  • (a^{2}-2b^{2}), (a^{2}+2b^{2})
  • (a-2b), (a^{2}+2b^{2})

(Select Correct Option)

5 / 15

Find m so that x^{2}+4x+m is a completed square_____

6 / 15

Factors of 8x^{3} +27y^{3} are ___________

  • (2x+3y), (4x^{2}+9y^{2})
  • (2x-3y), (4x^{2}-9y^{2})
  • (2x+3y), (4x^{2}-6xy+9y^{2})
  • (2x-3y), (4x^{2}+6xy+9y^{2})

(Select Correct Option)

7 / 15

if x-2 is factor of    p(x) = x^{2}+2kx+8    , then k = _______

8 / 15

What will be added to complete the square of 9a^{2}-12ab _______

  • -16b^{2}
  • 16b^{2}
  • 4b^{2}
  • -4b^{2}

(Which Option is Correct)

9 / 15

x^{2}+5x+6  can factorize as _____________

10 / 15

The Factors of x^{2} - 5x + 6 are_________

11 / 15

Factors of 5x^{2}-17xy-12y^{2} are _____

12 / 15

____________ =  \frac{x^{2}}{y^{2}}-2+\frac{y^{2}}{x^{2}}

  • \left ( \frac{x}{y} +\frac{y}{x}\right )^{2}
  • \left ( \frac{x}{y} -\frac{y}{x}\right )^{2}
  • \left ( \frac{y}{x} +\frac{x}{y}\right )^{2}

13 / 15

4a^{2}+4ab+(...........) is a complete square

  • b^{2}
  • 2b
  • ab

(Select Correct Option)

14 / 15

4a^{2}-16 can be factorize as __________

15 / 15

Factors of 27x^{2}-\frac{1}{x^{3}}  are ____________

  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}+3+\frac{1}{x^{2}} \right )
  • \left ( 3x-\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )
  • \left ( 3x+\frac{1}{x} \right )\left ( 9x^{2}-3+\frac{1}{x^{2}} \right )

(Select Correct Option)

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