EllipseHard

Question

The number of values of c such that straight line y = 4x + c touchhes the curve + y2 = 1 is

Options

A.0
B.2
C.1
D.

Solution

For rllipse, condititon of tangency is c2 = a2m2 + b2
Given line is y = 4x + c and curve + y2 = 1
⇒     c2 = 4 × 42 + 1 = 65
⇒    

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