If y-axis touches the circle x^2+y^2+gx+fy+ c 4 =0, then the normal at this point intersects the circle at the point

NDA 2018 Mathematics question

If y-axis touches the circle , then the normal at this point intersects the circle at the point

Answer: (B)

The centre is . The y-axis touches the circle at the foot of the perpendicular from the centre, .

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Question ID VK-028993