Question

10. 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

Answer 1

Answer:

Clearly d is the correct option

Step-by-step explanation:

Put x=a,y=-a

a+(-a)=x+y=0

Answer 2

Answer:

For the point of the form (a,−a) to lie on the line, its co ordinates should satisfy the equation,

A) For the line x=a,

There is no y-coordinate, so it is 0

Since the point (a,−a) have y=−a, it does not lie on the line.

B) For the line y=a,

There is no x-value, so x coordinate is 0

Since the point (a,−a) have x=a

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=0, it does not lie on the line.

C) For the line y=x,

Both x and y co ordinates should be equal

Since, co ordinates of the point (a,−a) are not equal, it does not lie on the line.

D) For the line x+y=0

Sum of x and y coordinates should be 0

Substituting co ordinates of the point (a,−a) in the equation x+y=0

We get a+(−a)=a−a=0

LHS = RHS

Hence, (a,−a) satisfies x+y=0.

Hence, option D is correct.