Q. 275.0( 2 Votes )

The line y = mx + 1 is a tangent to the curve y2 = 4x, if the value of m is
A. 1

B. 2

C. 3

D.

Answer :

It is given that the line y = mx + 1 is a tangent to the curve y2 = 4x.


Slope of the line = m


Slope of the curve


Differentiating the curve we get






The given line is a tangent to the curve so the point passes through both line and curve.







2 – m =1


m = 1


Hence, the correct option is A.

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