If a tangent to the parabola y2=4x makes an angleπ/4 with the positive direction of the axis of x,then the coordinates of the point of contact withthe parabola are:
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a
(1, 2)
b
(1, –2)
c
(4, 4)
d
(4, –4)
answer is A.
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Detailed Solution
Slope of the tangent to the parabola at t2,2t is 1t=tanπ4=1⇒t=1 nd the required point ofcontact is (1, 2).