AP EAMCET · Maths · Ellipse
In an ellipse, if the distance between the foci is units and the length of its minor axis is units, then its eccentricity is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Consider the standard equation of the ellipse x2a2+y2b2=1, The distance between it's foci is 6 , so, 2c=6 ⇒c=3 and given length of minor axis is 8 units, hence, 2b=8 ⇒ b=4 So, the value of a=b2+c2=42+32=5 Hence, e=ca=35
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