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The Line Y = X + 1 is a Tangent to the Curve Y2 = 4x At the Point - CBSE (Science) Class 12 - Mathematics

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Question

The line y = x + 1 is a tangent to the curve y2 = 4x at the point

(A) (1, 2)

(B) (2, 1)

(C) (1, −2)

(D) (−1, 2)

Solution

The equation of the given curve is y2 = 4x 

Differentiating with respect to x, we have:

Hence, the line y = x + 1 is a tangent to the given curve at the point (1, 2).

The correct answer is A.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 27 | Page no. 213
Solution The Line Y = X + 1 is a Tangent to the Curve Y2 = 4x At the Point Concept: Tangents and Normals.
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