TS EAMCET · Maths · Ellipse
If \(a x^2+b y^2=15\) is the equation of the ellipse for which distance between its foci is 2 and distance between its directrices is 5 , then \(a+b=\)
- A 10
- B 8
- C 16
- D 12
Answer & Solution
Correct Answer
(C) 16
Step-by-step Solution
Detailed explanation
Given equation is \(a x^2+b y^2=15\) \[ \frac{x^2}{\left(\sqrt{\frac{15}{a}}\right)^2}+\frac{y^2}{\left(\sqrt{\frac{15}{b}}\right)^2}=1 \] Now, \(a^{\prime}=\sqrt{\frac{15}{a}}, b^{\prime}=\sqrt{\frac{15}{b}}\) According to question,…
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