JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
An ellipse has its center at (1,-2), one focus at (3,-2) and one vertex at \((5,-2)\). Then the length of its latus rectum is :
- A \(\frac{16}{\sqrt{3}}\)
- B 6
- C \(4\sqrt{3}\)
- D \(6\sqrt{3}\)
Answer & Solution
Correct Answer
(B) 6
Step-by-step Solution
Detailed explanation
\(CA_{1}=a=4\) \(CF_{1}=ae=2\) \(e=\frac{1}{2}\) \(LR=2e(\frac{a}{e}-ae)\) \(=2\times\frac{1}{2}\times(\frac{4}{1/2}-2)\) = 6
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