Coordinate Geometry

JEE Main level, single correct, medium

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Question 1 of 5

The equation of the tangent to the parabola y2=8xy^2 = 8x with slope m=2m = 2 is:

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Answer: (D) y=2x+1y = 2x + 1

For y2=4axy^2 = 4ax, 4a=8  ⟹  a=24a = 8 \implies a = 2. Tangent with slope mm is y=mx+a/m=2x+2/2=2x+1y = mx + a/m = 2x + 2/2 = 2x + 1.

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