JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let \(P_{1}\) be a parabola with vertex \((3,2)\) and focus \((4,4)\) and \(P _{2}\) be its mirror image with respect to the line \(x +2 y =6\). Then the directrix of \(P _{2}\) is \(x +2 y\) =
- A \(10\)
- B \(15\)
- C \(8\)
- D \(12\)
Answer & Solution
Correct Answer
(A) \(10\)
Step-by-step Solution
Detailed explanation
\(P _{1}\) : Directorix : \(x+2 y=k\) \(x+2 y-k=0\) \(\left|\frac{3+4-K}{\sqrt{5}}\right|=\sqrt{5}\) \(|7-k|=5\) \(7-K=5 \quad 7-K=-5\) \(k=2 \quad k=12\) Accepted Rejected Passes through focus…
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