TS EAMCET · Maths · Parabola
If \(m x-y+c=0\) is a normal at a point \(P\) on the parabola \(y^2=16 x\) and the focal distance of \(P\) is 40 units, then \(|c|=\)
- A 108
- B 132
- C 66
- D 60
Answer & Solution
Correct Answer
(B) 132
Step-by-step Solution
Detailed explanation
Given, equation of normal \(m x-y+c=0\) Parabola \(y^2=16 x\) Comparing with general equation of parabola i.e., \(y^2=4 a x \Rightarrow a=4\) Let the coordinates of point \(P\) on parabola be \(\left(4 t^2, 8 t\right)\) \(\because\) Slope of tangent at point \(P=\frac{1}{t}\)…
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