Segment of the tangent to the curve xy = c2 at the point (x′, y′) which is contained between the coordinate axes is bisected at the point –
(A) (–x′, y′)
(B) (y′, x′)
(C) (x'/2, y'/2)
(D) of these
Correct option (D) of these
Explanation:
Which meets the co-ordinate axes at A and B (say) then A = (2x′, 0), B = (0, 2y′)
Mid point of AB is (x′, y′)