A tangent to the parabola y² = 4x is inclined at an angle 45° with the positive direction of x-axis. What is the point of contact of the tangent and the parabola?
A.(1, 1)
B.(2, 2√2)
C.(1/2, 1/√2)
D.(1, 2)✓ Correct
Explanation
For y² = 4ax with a=1, point of contact for tangent of slope m is (a/m², 2a/m) = (1/m², 2/m). With m = tan45° = 1: point is (1, 2).
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