The equation of the common tangent touching the circle (x-3)^2+y^2=9 and the parabola y^2=4x above the X-axis is

MHT CET 2026 Mathematics question

The equation of the common tangent touching the circle and the parabola above the X-axis is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

A tangent to is , i.e. . It touches the circle with centre (3, 0) and radius 3 if the distance from the centre equals 3: . Squaring: , . The tangent touches the

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Question ID VK-098521