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This mock test of Test: Linear Equations In Two Variables - 2 for Class 9 helps you for every Class 9 entrance exam.
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QUESTION: 1

x = 0 is the equation of

Solution:
Vertical lines cannot be written in standard form because the slope is undefined. The equation of the line is given by the x-intercept of the line. In this case x=0 goes though the origin (x=0), which means this is the equation of the y-axis.

QUESTION: 2

Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.

Solution:

QUESTION: 3

How many lines pass through two points?

Solution:

Only one straight line can pass through two points because the line will connect the two points as one as the initial and another point as the ending point.

QUESTION: 4

The graph of y = 4x will

Solution:

QUESTION: 5

For the equation 5x – 7y = 35, if y = 5, then the value of ‘x’ is

Solution:

QUESTION: 6

y = 0 is the equation of

Solution:

QUESTION: 7

Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.

Solution:

QUESTION: 8

How many lines pass through one point?

Solution:

QUESTION: 9

For what value of ‘k’, x = 2 and y = -1 is a solution of x + 3y – k = 0?

Solution:

QUESTION: 10

The area of the triangle formed by the line 2x + 5y = 10 and the coordinate axes is

Solution:

QUESTION: 11

The graph of the linear equation x + y = 0 passes through the point

Solution:

The graph of the linear equation x + y = 0 passes through the point (1,-1) because the co-ordinate of x and y axis satisfy the given equation

x + y = 0

1 - 1 = 0

so we can say (1,-1) is a solution of above equation

QUESTION: 12

The graph of the linear equation x + y = 0 passes through the point

Solution:

QUESTION: 13

The equation of a line parallel to x-axis and 3 units above the origin is

Solution:

QUESTION: 14

Which of the following pair is a solution of the equation 3x – 2y = 7?

Solution:

QUESTION: 15

Express ‘y’ in terms of ‘x’ in the equation 5x – 2y = 7.

Solution:

QUESTION: 16

A fraction becomes 1/3 when 1 is subtracted from its numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction

Solution:

QUESTION: 17

If (k, -3) lies on the line 3x – y = 6, then the value of ‘k’ is

Solution:

Putting x= k and y= -3 in the given equation,

i.e. 3(k) - (-3) = 6

=> 3k + 3 = 6

=> 3k = 3

Hence, k = 1

QUESTION: 18

The equation of a line parallel to x-axis and 5 units below the origin is

Solution:

QUESTION: 19

Which of the following is a linear equation in two variables?

Solution:

QUESTION: 20

Express ‘x’ in terms of ‘y’ in the equation 2x – 3y – 5 = 0.

Solution:

QUESTION: 21

The point of the form (a, a), where a ¹ 0 lies on

Solution:

QUESTION: 22

If x = 3 and y = -2 satisfies 2x – 3y = k, then the value of ‘k’ is

Solution:

QUESTION: 23

The equation of a line parallel to the y-axis and 4 units above the origin is

Solution:

QUESTION: 24

x = 5 and y = -2 is the solution of the linear equation

Solution:

QUESTION: 25

x – 4 is the equation of

Solution:

we know that the line parallel to y axis is given by x = a

x-4 = 0

x = 4

so it is a line parallel to y axis, at a distance of 4 units from it, to the right.

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