Q.

Let P be a point on the hyperbola x281−y249=1 .The tangent at P meets the transverse axis at T, N is the foot of the perpendicular from P to the transverse axis. If O is the origin, then ON.OT is equal to.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

81

b

49

c

-81

d

-49

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let the coordinate of P be (9sec⁡θ,7tan⁡θ)  then ON=9sec⁡θEquation of the tangent at P is x9sec⁡θ−y7tan⁡θ=1 which meets the transverse axis at (9cos⁡θ,0)⇒OT=9cos⁡θThen ON.OT=9sec⁡θ×9cos⁡θ=81.
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon