JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
If the three normals drawn to the parabola, \(y ^{2}=2 x\) pass through the point \(( a , 0) a \neq 0,\) then \('a'\) must be greater than
- A \(\frac{1}{2}\)
- B \(-\frac{1}{2}\)
- C \(-1\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
For standard parabola For more than \(3\) normals (on axis) \(x >\frac{ L }{2}\) (where \(L\) is length of \(L.R.\)) For \(y^{2}=2 x\) \(L.R.\) \(=2\) for \((a, 0)\) \(a>\frac{\text { L.R. }}{2} \Rightarrow a>1\)
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