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Question

Question: Equation of a common tangent to the curves y<sup>2</sup>= 8x and xy = – 1 is...

Equation of a common tangent to the curves y2= 8x and

xy = – 1 is

A

3y = 9x + 2

B

y = 2x + 1

C

2y = x + 8

D

y = x + 2

Answer

y = x + 2

Explanation

Solution

Let tangent of y2 = 8x is y = mx + 2m\frac{2}{m} since touches

xy = – 1 solve and put D = 0