A point (a, b) , where a = 0 ,b ≠ 0 lies ?
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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
=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.
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Answer:
A point (a, b) , where a = 0 ,b ≠ 0 lies on
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