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The Line Y = X + 1 is a Tangent to the Curve Y2 = 4x At the Point

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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)

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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.

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Chapter 6: Application of Derivatives - Exercise 6.3 [Page 213]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.3 | Q 27 | Page 213
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