Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If there are two points A and B on rectangular hyperbola
xy = c 2 such that abscissa of A = ordinate of B, then locus of point of intersection of tangents at A & B is -
A
y 2 –x 2 = 2c 2
B
y 2 –x 2 = 
C
y = x
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Let A is ( α, β ) then B is ( β, α )
∴ A & B are symmetric about y = x,
so tangents at A and B will be mirror images of each other, about y = x. Thus point of intersection will lie on y = x.
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