Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6

Q.

Let  F1,F2 are the foci of the hyperbola x216y29=1 and  F3,F4 are the foci of its conjugate hyperbola. If eH  and  eC are their eccentricities respectively then the statement which holds true is:

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

Their equations of the asymptotes are different

b

eH>eC

c

Area of the quadrilateral formed by their foci is 50sq. units.

d

Their auxiliary circles will have the same equation

answer is C.

(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

detailed_solution_thumbnail

q=16[eH21]eH=54F1,F2[±5,0],16=9[eC21]eC=53F3,F4(0,±5) 
Question Image
Area of  F1 F3 F2 F412×10×10=50
 

Watch 3-min video & get full concept clarity

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
Let  F1,F2 are the foci of the hyperbola x216−y29=1 and  F3,F4 are the foci of its conjugate hyperbola. If eH  and  eC are their eccentricities respectively then the statement which holds true is: