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CGP EDU Academic Team
Published on: August 13, 2026
P is a point on the hyperbola 
, N is the foot of the perpendicular from P on the transverse axis. The tangent to the hyperbola at P meets the transverse axis at T. If O is the centre of the hyperbola, then OT, ON is equal to
Text Solution
Verified by ExpertsThe correct answer is:
B
Let P(x 1 , y 1 ) be a point on the hyperbola. Then the coordinates of N are (x 1 , 0). The equation of the tangent at (x 1 , y 1 ) is 
.
This meets x-axis at T 
∴ ∴ OT . ON = 
.
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