The equation of the tangent to the parabola y^ 2 =8x, which is parallel to the line 4x-y+3=0 is

MHT CET 2024 Mathematics question

The equation of the tangent to the parabola , which is parallel to the line is

Answer: (B)

The line has slope , so the required tangent has slope . For the parabola with , i.e. , the tangent of slope is .

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Question ID VK-098996