JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
The length of the latus rectum of a parabola, whose vertex and focus are on the positive \(x\)-axis at a distance \(\mathrm{R}\) and \(\mathrm{S}(\,>\,\mathrm{R})\) respectively from the origin, is:
- A \(4(\mathrm{~S}+\mathrm{R})\)
- B \(2(\mathrm{~S}-\mathrm{R})\)
- C \(4(\mathrm{~S}-\mathrm{R})\)
- D \(2(\mathrm{~S}+\mathrm{R})\)
Answer & Solution
Correct Answer
(C) \(4(\mathrm{~S}-\mathrm{R})\)
Step-by-step Solution
Detailed explanation
\(\mathrm{V} \rightarrow \text { Vertex }\) \(\mathrm{F} \rightarrow \text { focus }\) \(\mathrm{VF}=\mathrm{S}-\mathrm{R}\) So latus rectum \(=4(\mathrm{~S}-\mathrm{R})\)
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