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Question: The line y = 2x + c is a tangent to the parabola y<sup>2</sup> = 16 x, if c equals...

The line y = 2x + c is a tangent to the parabola y2 = 16 x, if c equals

A

– 2

B

– 1

C

0

D

2

Answer

2

Explanation

Solution

line y = 2x + c

Parabola y2 = 16x

Comparing with y2 = 4ax

4a = 16 Ž a = 4

Condition of tangency c = , c = = 2