TS EAMCET · Maths · Ellipse
In an ellipse, the distance from one of the foci to its corresponding end of the major axis is \(4-\sqrt{7}\) and the distance from same focus to one end of the minor axis is 4 . Then the cosine of the angle subtended by the line segment joining its foci at one end of its minor axis is
- A \(\frac{1}{8}\)
- B \(\frac{3}{4}\)
- C \(\frac{\sqrt{7}}{3}\)
- D \(\frac{1}{3 \sqrt{7}}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{8}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } S_1 A=4-\sqrt{7} \Rightarrow|a e-a|=4-\sqrt{7} \\ & a^2(1-e)^2=(4-\sqrt{7})^2 \\ & B S_1=4\end{aligned}\)…
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