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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

Options

  • (-1, 2)

  • (1, 2)

  • (1, -2)

  • (2, 1)

MCQ

Solution

(1, 2)

Explanation:

as slope of line y = x + 1 is 1 and `"dy"/"dx" = 2/"y" = 1`

`=> "y" = 2 and "x" = 1.`

Therefore point is (1, 2).

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