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

Solution:

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

Here both x and y coordinate values are the different

So it must lie on the line x + y = 0

Therefore, the point lies on the line x + y = 0.

✦ Try This: The graph of the linear equation 4x + 5y = 20 is a line which meets the x-axis at the point a. (0, 4), b. (4, 0), c. (5, 0), d. (0, 5)

An equation that has the highest degree of 1 is known as a linear equation.

It means that no variable in a linear equation has an exponent more than 1.

The given linear equation is 4x + 5y = 20

It meets the x-axis which means that y = 0

Let us substitute it in the equation

4x + 5(0) = 20

4x = 20

Dividing both sides by 4

x = 5

Therefore, the graph of the linear equation is (5, 0).

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

NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 19

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

Summary:

The point of the form (a, -a) always lies on the line x + y = 0 as the x and y coordinates are different

☛ Related Questions:

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