JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
If the length of the latus rectum of a parabola, whose focus is \(( a , a )\) and the tangent at its vertex is \(x+y=a\), is \(16 \), then \(|a|\) is equal to.
- A \(2 \sqrt{2}\)
- B \(2 \sqrt{3}\)
- C \(4 \sqrt{2}\)
- D \(4\)
Answer & Solution
Correct Answer
(C) \(4 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(| P |=\left|\frac{ a }{\sqrt{2}}\right|=\frac{16}{4}=4\) \(| a |=4 \sqrt{2}\)
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