Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The coordinates of the point of intersection of two tangents to a rectangular hyperbola referred to its asymptote as axes are -
Text Solution
Verified by ExpertsThe correct answer is:
C
The equation of the hyperbola referred to its asymptotes as the coordinates axes is xy = c 2 .
The equations of the tangents to it at
P 
and Q 
are 
= 2c
And 
+ yt 2 = 2c.
These two intersect at R 
Now, H.M. of ct 1 and ct 2 is 
= 
and, H.M. of 
and 
is 
= 
.
Hence the coordinates of R are the harmonic means of the coordinates of the points of contact P and Q.
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