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The Line Y = Mx + 1 is a Tangent to the Curve Y2 = 4x If the Value of M is - Mathematics

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प्रश्न

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

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उत्तर

The equation of the tangent to the given curve is y = mx + 1.

Now, substituting y = mx + 1 in y2 = 4x, we get:

Hence, the required value of m is 1.

The correct answer is A.

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अध्याय 6: Application of Derivatives - Exercise 6.6 [पृष्ठ २४४]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.6 | Q 21 | पृष्ठ २४४

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