JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
A triangle is formed by the tangents at the point \((2,2)\) on the curves \(y^2=2 x\) and \(x^2+y^2=4 x\), and the line \(x+y+2=0\). If \(r\) is the radius of its circumcircle, then \(r ^2\) is equal to \(........\).
- A \(10\)
- B \(18\)
- C \(15\)
- D \(14\)
Answer & Solution
Correct Answer
(A) \(10\)
Step-by-step Solution
Detailed explanation
\(S_1: y^2=2 x \quad S_2: x^2+y^2=4 x\) \(P (2,2)\) is common point on \(S _1 \& S _2\) \(T_1\) is tangent to \(S_1\) at \(P \quad \Rightarrow T_1: y \cdot 2=x+2\) \(\Rightarrow T_1: x-2 y+2=0\) \(T_2\) is tangent to \(S_2\) at…
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