AP EAMCET · Maths · Parabola
If a normal chord at a point \(t(\neq 0)\) on the parabola \(y^2=9 x\) subtends a right angle at its vertex, then \(t=\)
- A \(\sqrt{3}\)
- B \(\sqrt{5}\)
- C \(\pm \sqrt{3}\)
- D \(\pm \sqrt{2}\)
Answer & Solution
Correct Answer
(D) \(\pm \sqrt{2}\)
Step-by-step Solution
Detailed explanation
Equation of given parabola is Equation of normal chord at a point \(t(\neq 0)\) on the parabola (i) is \(\because\) The chord (ii) subtends a right angle at vertex of parabola \(V(0,0)\), so first homogenise the parabola (i) with the help of line (ii), we get…
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