All in One Mathematics>Chapter 4 - Linear Equations in Two Variables>Challengers*>Q 1

MEDIUM

9th CBSE

IMPORTANT

Earn 100

Consider the following linear equation in two variables $\sqrt{m n} x = m n y + 5$ . After finding the values of $a, b$ and $c$ . Find the value of $a^{2} + b$ .

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Important Questions on Linear Equations in Two Variables

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 4 - Linear Equations in Two Variables>Challengers*>Q 2

If thee times the larger of the two numbers is divided by the smaller one, we get

4

as quotient and

3

as remainder. Also, if seven times the smaller number is divided by the larger one, we get

5

as quotient and

1

as remainder. Both the equations so obtained is

HARD

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 4 - Linear Equations in Two Variables>Challengers*>Q 3

The area of a rectangle gets reduced by

9 sq units

, if its length is reduced by

5

units and breadth is increased by

3

units. Taking the length and breadth of the rectangle as

x

and

y

respectively, write the equation. If we increase the length by

3

units and breadth by

2

units, then the area is incraesed by

67 sq units

. Another equation so obtained.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 4 - Linear Equations in Two Variables>Challengers*>Q 4

At what point does the graph of the linear equation

x + y = 8

meet a line which is parallel to the

Y

-axis at a distance of

5

units from the origin and in the positive direction of

X

-axis is

HARD

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 4 - Linear Equations in Two Variables>Challengers*>Q 5

A graph is shown below

Question Image

If we rotate a line segment $A B$ in the anti-clockwise direction with $A$ being fixed, then the area covered by this line segment is

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 4 - Linear Equations in Two Variables>Challengers*>Q 6

The ratio of girls and boys in a class is

1 : 3

. An equation between the students of class and boys is