JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let \(L\) be a tangent line to the parabola \(y^{2}=4 x-20\) at \((6,2)\) . If \(L\) is also a tangent to the ellipse \(\frac{ x ^{2}}{2}+\frac{ y ^{2}}{ b }=1,\) then the value of \(b\) is equal to ..... .
- A \(11\)
- B \(14\)
- C \(16\)
- D \(20\)
Answer & Solution
Correct Answer
(B) \(14\)
Step-by-step Solution
Detailed explanation
Tangent to parabola \(2 y=2(x+6)-20\) \(\Rightarrow y=x-4\) Condition of tangency for ellipse. \(16=2(1)^{2}+ b\) \(\Rightarrow b =14\)
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