Ncert exemplar solutions mathematics class 9 Solutions for Chapter 4 linear equations in two variables

The linear equation 2x – 5y = 7 has

A. A unique solution

B. Two solutions

C. Infinitely many solutions

D. No solution

The equation 2x + 5y = 7 has a unique solution, if x, y are:

A. Natural numbers

B. Positive real numbers

C. Real numbers

D. Rational numbers

If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is

A. 4

B. 6

C. 5

D. 2

Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form

A. (-9/2 , m)

B. (n, -9/2)

C. (0, -9/2)

D. ( – 9, 0)

The graph of the linear equation 2x + 3y = 6 cuts the y – axis at the point

A. (2, 0)

B. (0, 3)

C. (3, 0)

D. (0, 2)

The equation x = 7, in two variables, can be written as

A. 1. x + 1. y = 7

B. 1. x + 0. y = 7

C. 0. x + 1. y = 7

D. 0. x + 0. y = 7

Any point on the x – axis is of the form

A. (x, y)

B. (0, y)

C. (x, 0)

D. (x, x)

Any point on the line y = x is of the form

A. (a, a)

B. (0, a)

C. (a, 0)

D. (a, – a)

The equation of x – axis is of the form

A. x = 0

B. y = 0

C. x + y = 0

D. x = y

The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12.

The graph of the linear equation x + 2y = 7 passes through the point (0, 7).

The graph given below represents the linear equation x + y = 0.

Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. What do you observe?

Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is 1½ times its abscissa.

Draw the graph of the equation represented by a straight line which is parallel to the x-axis and at 3 units below.

Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.

Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.

Show that the points A (1, 2), B ( – 1, – 16) and C (0, – 7) lie on the graph of the linear equation y = 9x – 7.

The following observed value of x and y are thought to satisfy a linear equation. Write the linear equation-

Draw the graph using the value of x, y as given in the above table. At what points the graph of the linear equation (i) cuts the X-axis ? (ii) cuts the Y-axis?

Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts X and Y-axis?