Q.

Let Pi and Pi' be the feet of the perpendicular drawn from the foci S and S' on a tangent Ti to an ellipse whose length of semi major axis is 20. If ∑i=110SPiS'Pi1=2560 , then the value of the eccentricity is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

12

b

25

c

35

d

45

answer is C.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

Product of length of perpendiculars from foci on a tangent to the ellipse=b2∴SP1S1P11=SP2S1P21=.........=SP10S1P101=b2∑i=110SPiS1Pi1=256010b2=2560⇒b2=256,⇒b=16b2= a2(1- e2)162=2021-e2⇒e=3/5
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE
whats app icon