Test Index

Hyperbola

Section: Mathematics

© examsnet.com

Question : 3 of 17

Marks: +1, -0

Consider the hyperbola

\frac{x^2}{100} - \frac{y^2}{64} = 1

S

S_1

S

lies on the positive

x

P

be a point on the hyperbola, in the first quadrant. Let

\angle S P S_1 = \alpha

\alpha < \frac{\pi}{2}

. The straight line passing through the point

S

and having the same slope as that of the tangent at

P

to the hyperbola, intersects the straight line

S_1 P

P_1

\delta

be the distance of

P

from the straight line

S P_1

\beta = S_1 P

. Then the greatest integer less than or equal to

\frac{\beta \delta}{9} \sin \frac{\alpha}{2}

[JEE Adv 2022 P2]

Your Answer:

Go to Question:

Prev Question

Next Question