Variations :

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10th Class Math MCQs Chapter-03

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1 / 40

The Third proportional of and is ___________

$\frac{y^2}{x^2}$
$\frac{y^4}{x^2}$
$\frac{y^2}{x^4}$

(Whcih Option is Correct)

Option-I

Option-II

Option-III

Option-IV

2 / 40

The Mean Proportional of 20 & 45 is _______

±15

±30

±900

3 / 40

In Continued proportion of 12 , p , 3 the value of p is _____

±4

±36

±6

4 / 40

If $\frac{9pq}{2lm} = \frac{18p}{5m}$ , then value of "5q" is __________

5 / 40

if u α , then_________

(Which Option is Correct)

Option-4

Option-2

Option-1

Option-3

6 / 40

If x and y varies directrly, then x = _________

k y

k / y

7 / 40

Third proportional of is _________

(Which Option is Correct)

Option-I

Option-II

Option-IV

Option-III

8 / 40

If $\frac{u}{v} = \frac{v}{w} = k$ , then

(Which Option is Correct)

Option-II

Option-III

Option-IV

Option-I

9 / 40

Mean proportional of is _________

$\pm 10x^5y^6$
$\pm 10x^5y^3$
$\pm 10x^{10}y^6$
$100x^{10}y^6$

(Which Option is Correct)

Option-IV

Option-I

Option-II

Option-III

10 / 40

What is the value of p in the continued proportion of 5, p, 45?

±15

±25

225

11 / 40

If a : b = x : y , then invertendo property is ___________

$\frac{a}{x} = \frac{b}{y}$
$\frac{a}{a-b}=\frac{x}{x-y}$
$\frac{a+b}{b} = \frac{x+y}{y}$
$\frac{b}{a}=\frac{y}{x}$

(Select Correct Option)

Option-II

Option-III

Option-I

Option-IV

12 / 40

If 6 : m : : 9 : 12 , then m = ________

13 / 40

What is the Value of x in the continued proportion of 8, x, 18 ?

±12

±8

±144

14 / 40

There are _________ types of variation

one

Four

three

two

15 / 40

the Simplest form of the ratio $\frac{(x+y)(x^2+xy+y^2))}{x^3-y^3}$ is ________

$\frac{x-y}{x+y}$
$\frac{x^3+y^3}{x^3-y^3}$
$\frac{x+y}{x-y}$

(Which Option is Correct)

Option-I

Option-II

Optoin-III

Option-IV

16 / 40

Third proportional of 6, 12 is _______

17 / 40

Mean Proportional of and is __________

$\pm 3p^3q^2r^4$
$\pm 9p^6q^2r^8$
$\pm 9p^3q^2r^4$
$\pm 3p^6q^4r^8$

(Which Option is Correct)

Option-II

Option-III

Option-I

Option-IV

18 / 40

in continues proportional " a : b = b : c " , c is said to be __________ proportional to "a & b".

fourth

third

means

None of these

19 / 40

The mean proportional of and is ______________

$\pm 2mnp$
$\pm mnp$
$\pm \frac{2m^2n}{p}$
$\pm 2mn^2p^3$

(Which Option is Correct)

Option-I

Option-II

Option-III

Option-IV

20 / 40

In a proportion " a : b :: c : d " , "a" and "d" are called ___________

extremes

None of these

third proportional

means

21 / 40

Which one is the Fourth proportional of ?

$9x^{12}$

(Which Option is Correct)

Option-IV

Option-II

Option-I

Option-III

22 / 40

The fourth proportional w of " x : y : : v : w is _________

x / vy

xy / v

vy / x

x y v

23 / 40

Newton's law of Gravitation is an example of ________

Direct Variation

Inverse Variation

Variation

Joint Variation

24 / 40

Fourth proportional of 5, 8, 15 is ________

120

25 / 40

If $\frac{a}{b} = \frac{c}{d}$ , then componendo property is _________

$\frac{a}{a+b}=\frac{c}{c+d}$
$\frac{a}{a-b}=\frac{c}{c-d}$
$\frac{ad}{bc}$
$\frac{a-b}{b}=\frac{c-d}{d}$

(Select Correct Option)

Option-II

Option-IV

Option-I

Option-III

26 / 40

If v varies direct as , then = ________

$\frac{k}{v}$
$\frac{v}{k}$

(Which Option is Correct)

Option-IV

Option-I

Option-II

Option-III

27 / 40

A third proportional of 12 and 4, is ______

3 / 4

4 / 3

28 / 40

The fourth proportional of 15, 6 , 5 is _________

29 / 40

in a Ratio " x : y ", y is called __________

None of these

Relation

consequent

antecedent

30 / 40

If w varies inversely as , then k = _________

$\frac{w}{p^2}$
$\frac{p^2}{w}$

(Which Option is Correct)

Option-I

Option-III

Option-II

Option-IV

31 / 40

In a ratio " a : b " , a is called ________

None of these

consequent

Relation

antecedent

32 / 40

If a : b = x : y, then alternando property is _______

$\frac{a}{x} = \frac{b}{x}$
$\frac{a}{b} = \frac{x}{y}$
$\frac{a+b}{b}=\frac{x+y}{y}$
$\frac{a-b}{x}=\frac{x-y}{y}$

(Select Correct Option)

Option-I

Option-IV

Option-II

Option-III

33 / 40

In a proportion " a : b :: c : d " , "b" & "c" are called _________

None of these

extremes

means

forth proportional

34 / 40

If $\frac{5a}{3x} = \frac{15b}{y}$ , then ay = ____________________

9y / 9b

9bx

5ay = 45bx

9bx / y

35 / 40

The continued proportion of 4, m, 9 is written as ________

4 : m : : m : 9

9: 4 : : m : m

4 : 9 : : 9 : m

9 : 4 : : 4 : m

36 / 40

In continued proportion " a : b = b : c ", ac = b² , b is said to be ________ proportional between "a & c".

None of these

fourth

third

means

37 / 40

if ∝ $\frac{1}{x^3}$ , then _______________

$y^2 = \frac{k}{x^3}$
$y^{2} = \frac{1}{x^3}$

(Which Option is Correct)

Option-2

Option-4

Option-3

Option-1

38 / 40

Find " x " in proportion

4 : x :: 5 : 15

4 / 3

75 / 4

3 / 4

39 / 40

In proportion 7 : 4 : : p : 8, the value of p = _______

40 / 40

If $\frac{u}{v} = \frac{v}{w} = k$ then _______ (Which Option is Correct)

Option-II

Option-I

Option-IV

Option-III

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Math Solution 10th Class (Science Group)

Chapter 01 - QUADRATIC EQUATIONS

Exercise 1.1 (English) (Urdu)

Exercise 1.2 (English) (Urdu)

Exercise 1.3 (English) (Urdu)

Exercise 1.4 (English) (Urdu)

Ex 1-Misc (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 02 - THEORY OF QUADRATIC EQUATIONS

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 2.7 (English) (Urdu)

Exercise 2.8 (English) (Urdu)

Ex 2-Misc (English) (Urdu)

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Chapter 03 - VARIATIONS

Exercise 3.1 (English) (Urdu)

Exercise 3.2 (English) (Urdu)

Exercise 3.3 (English) (Urdu)

Exercise 3.4 (English) (Urdu)

Exercise 3.5 (English) (Urdu)

Exercise 3.6 (English) (Urdu)

Exercise 3.7 (English) (Urdu)

Ex 3-Misc (English) (Urdu)

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Chapter 04 - PARTIAL FRACTIONS

Exercise 4.1 (English) (Urdu)

Exercise 4.2 (English) (Urdu)

Exercise 4.3 (English) (Urdu)

Exercise 4.4 (English) (Urdu)

Ex 4-Misc (English) (Urdu)

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Chapter 05 - SETS AND FUNCTIONS

Exercise 5.1 (English) (Urdu)

Exercise 5.2 (English) (Urdu)

Exercise 5.3 (English) (Urdu)

Exercise 5.4 (English) (Urdu)

Exercise 5.5 (English) (Urdu)

Ex 5-Misc (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 06 - BASIC STATISTICS

Exercise 6.1 (English) (Urdu)

Exercise 6.2 (English) (Urdu)

Exercise 6.3 (English) (Urdu)

Ex 6-Misc (English) (Urdu)

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Chapter 07 - INTRODUCTION TO TRIGONOMETRY

Exercise 7.1 (English) (Urdu)

Exercise 7.2 (English) (Urdu)

Exercise 7.3 (English) (Urdu)

Exercise 7.4 (English) (Urdu)

Exercise 7.5 (English) (Urdu)

Ex 7-Misc (English) (Urdu)

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Chapter 08 - PROJECTION OF A SIDE OF A TRIANGLE

Exercise 8.1 (English) (Urdu)

Exercise 8.2 (English) (Urdu)

Ex 8-Misc (English) (Urdu)

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Chapter 09 - CHORDS OF A CIRCLE

Exercise 9.1 (English) (Urdu)

Exercise 9.2 (English) (Urdu)

Ex 9-Misc (English) (Urdu)

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Chapter 10 - TANGENT TO A CIRCLE

Exercise 10.1 (English) (Urdu)

Exercise 10.2 (English) (Urdu)

Exercise 10.3 (English) (Urdu)

Ex 10-Misc (English) (Urdu)

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Chapter 11 - CHORDS AND ARCS

Exercise 11.1 (English) (Urdu)

Ex 11-Misc (English) (Urdu)

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Chapter 12 - ANGLE IN A SEGMENT OF A CIRCLE

Exercise 12.1 (English) (Urdu)

Ex 12-Misc (English) (Urdu)

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Chapter 13 - PRACTICAL GEOMETRY - CIRCLES

Exercise 13.1 (English) (Urdu)

Exercise 13.2 (English) (Urdu)

Exercise 13.3 (English) (Urdu)

Ex 13-Misc (English) (Urdu)

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Other Math Notes

10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

10th Math Past Papers (Arts Group)

9th Class Math Science Group (English Medium)

9th Class Math Science Group (Urdu Medium)

9th Class Math Arts Group (Urdu Medium)

9th Class Math Past Papers (Science Group)

9th Class Math Past Papers (Arts Group)

10th Class Math Solution:

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