Q.

α,β are the eccentric angles of the extremities of a focal chord of the ellipse x2/16+y2/9=1 then tan⁡(α/2)tan⁡(β/2)=

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

7+47−4

b

-923

c

5−45+4

d

87−239

answer is D.

(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

The eccentricity e=1−916=74Let P(4cos⁡α,3sin⁡α) and Q(4cos⁡β,3sin⁡β) be a focalchord of the ellipse passing through the focus at (7,0)then,⇒3sin⁡β4cos⁡β−7=3sin⁡α4cos⁡α−7⇒sin⁡(α−β)sin⁡α−sin⁡β=74⇒cos⁡[(α−β)/2]cos⁡[(α+β)/2]=74⇒tan⁡α2tan⁡β2=7−47+4=23−87−9
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon