WBJEE · Maths · Parabola
The point on the parabola \(y^{2}=64 x\) which is nearest to the line \(4 x+3 y+35=0\) has coordinates
- A (9,-24)
- B (1,81)
- C (4,-16)
- D (-9,-24)
Answer & Solution
Correct Answer
(A) (9,-24)
Step-by-step Solution
Detailed explanation
Given equation of parabola is \[ y^{2}=64 x \] The point at which the tangent to the curve is parallel to the line is the nearest point on the curve. On differentiating both sides of Eq. (i), we get \(2 y \frac{d y}{d x}=64\) \(\Rightarrow \quad \frac{d y}{d x}=\frac{32}{y}\)…
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