Question

The line through the points \((a, b)\) and \((-a,-b)\) passes through the point
(A) \((1,1)\)
(B) \((3 a,-2 b)\)
(C) \(\left(a^{2}, a b\right)\)
(D) \((a, b)\)

Answer 1

Ans : (C) **
** Note : The point in Option D is already in the question.
Hint : The line through \((a, b)\) and \((-a,-b)\) has the equation \(b x=a y\). Hence, \(\left(a^{2}, a b\right)\) is always on the line.