Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Consider the hyperbola H : x 2 - y 2 = 1 and a circle S with center N(x 2 , 0). Suppose that H and S touch each other at a point P(x 1 , y 1 ) with x 1 > 1 and y 1 > 0. The common tangent to H and S at P intersects the x-axis at point M. If (l, m) is the centroid of the triangle 
PMN, then the correct expression(s) is(are)
A
for 
B
for x 1 > 1
C
for x1 > 1
D
for y 1 > 0
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,d)Tangent at P, xx 1 – yy 1 = 1 intersects x axis at 
Slope of normal = 
For centroid 
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