The point of the form (a, a) always lies on
a. x-axis
b. y-axis
c. On the line y = x
d. On the line x + y = 0

Solution:

The point given is of the form (a, a)

Here both x and y coordinate values are the same

So it must lie on the line y = x

Therefore, the point lies on the line y = x.

✦ Try This: If (6, 0) is a solution of the linear equation 2x + 3y = 4k, then the value of k is a. 3, b. 2, c. 5, d. 7

The given linear equation is

2x + 3y = 4k

The point given here is

(x, y) = (6, 0)

Let us substitute the given values in the equation

2 (6) + 3 (0) = 4k

By further calculation

12 + 0 = 4k

So we get

k = 12/4

k = 3

Therefore, the value of k is 3.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 18

The point of the form (a, a) always lies on a. x-axis, b. y-axis, c. On the line y = x, d. On the line x + y = 0

Summary:

The point of the form (a, a) always lies on the line y = x as both the x and y coordinates are the same

☛ Related Questions:

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