TS EAMCET · Maths · Parabola
A circle of radius 4 , drawn on a chord of the parabola \(y^2=8 x\) as diameter, touches the axis of the parabola. Then, the slope of the chord is
- A \(\frac{1}{2}\)
- B \(\frac{3}{4}\)
- C \(1\)
- D \(2\)
Answer & Solution
Correct Answer
(C) \(1\)
Step-by-step Solution
Detailed explanation
Given, equation of parabola is \[ \begin{aligned} y^2 & =8 x \\ a & =2 \end{aligned} \] Let \((h, 4)\) be the coordinate of mid-point of chord. Then, equation of chord is \[ y-4=m(x-h) \] If line (ii) passes through the point \(P\left(2 t_1^2, 4 t_1\right)\) and…
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