AP EAMCET · Maths · Parabola
If the double ordinate of the parabola \(y^2=8 x\) is of length 16 , then the angle subtended by it at the vertex of the parabola is
- A \(\frac{\pi}{2}\)
- B \(\frac{\pi}{3}\)
- C \(\frac{3 \pi}{4}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
Let \(A\left(x_1, y_1\right)\) and \(B\left(x_1,-y_1\right)\) are the co-ordinate of end points of double ordinate length of \(A B=2 y_1=16\) \[ A\left(x_1, 8\right) \text { and } B\left(x_1,-8\right) \] \(A\) and \(B\) lies on parabola. So, \[ 64=8 x_1 \Rightarrow x_1=8 \] So,…
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