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  • The point of the form (a, – a) always lies on the line

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

Answers (1)

Answer:

(D) x + y = 0

Solution:

The given point of the form (a, –a) shows that for every value of x there must be equal value of y with opposite sign.

In x = a, only the value of x is given

Here we do not know the value of y, therefore it is not possible to determine (a, –a) point.

In y = –a, only the value of y is given

Here we do not know the value of x, therefore it is not possible to determine (a, –a) point.

On the line y = x, for each and every value of x there is an equal value of y

For example for x = 1, we get y = 1

Therefore point of the form (a, a) lies on the line y = x.

On the line x + y = 0, i.e., x = -y

for each and every value of x there is an equal value of y (which is negative)

For example for x = 1, we get y = -1

Therefore point of the form (a, -a) lies on the line x + y = 0.

Therefore option (D) is correct.

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