AP EAMCET · Maths · Parabola
If a normal chord at a point \(t\) on the parabola \(y^2=4 a x\) subtends a right angle at the vertex, then \(t\) equals to
- A \(1\)
- B \(\sqrt{2}\)
- C \(2\)
- D \(\sqrt{2}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
The perpendicular of the normal to the parabola \(y^2=4 a x\) at \(P\) is Suppose, it meets the parabola at \(Q\). If \(O\) be the vertex of the parabola, then the combined equation of \(O P\) and \(O Q\) is a homogeneous equation of second degree.…
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