AP EAMCET · Maths · Ellipse
If and are the focii of an ellipse, is one end of the minor axis and , then the eccentricity of that ellipse is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Let the coordinates of the focii of an ellipses are Sae,0 and S'-ae,0. Since, ∠SBS'=90 ∴SS'2=SB2+S'B2 2ae2=ae-02+0-b22+-ae-02+0-b22 ⇒2ae2=ae2+b2+ae2+b22 ⇒4a2e2=2a2e2+2b2 ⇒2a2e2=2b2 ⇒b2a2=e2 ...i Also, e2=1-b2a2…
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