﻿ The coordinates of the point P on the curve y2 = 2x3, the tangent at which is perpendicular to the line 4x – 3y + 2 = 0, are given by : Kaysons Education

# The Coordinates Of The Point P on The Curve y2 = 2x3, The Tangent At Which Is Perpendicular To The Line 4x – 3y + 2 = 0, Are Given By

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## Question

### Solution

Correct option is

(1/8, 1/16)

Differentiating y2 = 2x3, we get

The slope of the line 4x – 3y + 2 = 0 is 4/3. Therefore, the coordinates of P(xy) must satisfy

Also, y2 = 2x3. Solving these, we get x = 1/8 and y = –1/16

(clearly x ≠ 0).

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