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+1 vote
1.2k views
in Mathematics by (130k points)

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)     1/2

1 Answer

+1 vote
by (93.7k points)
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Best answer

The equation of the tangent to the given curve is y = mx + 1.
Now, substituting y = mx + 1 in y2 = 4x, we get:

Since a tangent touches the curve at one point, the roots of equation (i) must be equal.
Therefore, we have:

Hence, the required value of m is 1.
The correct answer is A.

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