The point of the form (a, – a)

Question:

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:

(d) Taking option (d), x + y = a + (-a) = a – a = 0 [since, give point is of the form (a, -a)]

Hence, the point (a, – a) always lies on the line x + y = 0.

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