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Question

The angle between the tangents drawn from the point (1, 4) to the parabola y2 = 4x is


A

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B

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C

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D

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Solution

The correct option is B


Equation of tangent of slope m is y = mx + 1m which passes through (1,4) m2 - 4m + 1 = 0

tanθ=m1m21+m1m2 tanθ=(m1+m2)24m1m21+m1m2

tanθ=1642=3

θ = 60.


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