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A tangent to the parabola y^2 = 8x makes an angel of 45° with the straight line y = 3x + 5. Find its equation and its point of contact.

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A tangent to the parabola y2 = 8x makes an angel of 45° with the straight line y = 3x + 5. Find its equation and its point of contact.

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Slope of required tangents are

∵ Equation of tangent of slope m to the parabola y2 = 4ax is

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