0

Guest

Courses New

An ellipse has OB as semi minor axis, F and F' its focii and the angle FBF' is a right angle. Then the eccentricity of the ellipse is ?

An ellipse has OB as semi minor axis, F and F' its focii and the angle FBF' is a right angle. Then the eccentricity of the ellipse is ?

Grade:12

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
240-1005_Capture3.PNG
∵∠FBF′ = 90
∴ (sqrt(a2e2 + b2))2+(sqrt(a2e2+ b2))2 = (2ae)2
⇒ 2(a2e2+ b2)= 4a2e2
⇒ e2 = b2/a2
Also e2= 1- b2/a2 = 1 – e2
B(0, b)
F′(-ae, 0) O F(ae, 0)
2e2= 1,so e=1/\sqrt{2}
Thanks and Regards
Shaik Aasif
askIITians faculty

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More