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Conic Sections
Parabola
Easy

Question

The equation of a tangent to the parabola, x 2 = 8y, which makes an angle θ\theta with the positive directions of x-axis, is :

Options

Solution

Here's a detailed, step-by-step solution to the problem, designed to be clear, educational, and comprehensive, including addressing potential pitfalls.


Question: The equation of a tangent to the parabola, x2=8yx^2 = 8y, which makes an angle θ\theta with the positive directions of x-axis, is:

Options: (A) x=ycotθ2tanθx = y \cot \theta – 2 \tan \theta (B) y=xtanθ+2cotθy = x \tan \theta + 2 \cot \theta (C) x=ycotθ+2tanθx = y \cot \theta + 2 \tan \theta (D) y=xtanθ2cotθy = x \tan \theta – 2 \cot \theta

**Correct Answer:

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