If a focal chord of the parabola y 2 = 4 x makes an angle 4 5 ∘ with positive X -axis, then the slopes of the normals drawn at the ends of the focal chord will satisfy the equation

Question

If a focal chord of the parabola y 2 = 4 x makes an angle 4 5 ∘ with positive X -axis, then the slopes of the normals drawn at the ends of the focal chord will satisfy the equation, x 2 − 2 x − 1 = 0, x 2 + 2 x − 1 = 0, x 2 − 1 = 0, x 2 + 2 x − 2 = 0

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