A tangent to the parabola y^2=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?

NDA 2025 Mathematics question

A tangent to the parabola is inclined at an angle with the positive direction of -axis. What is the point of contact of the tangent and the parabola?

Answer: (D)

Differentiating : . The slope of the tangent is , so , and then $x =

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Question ID VK-030069