If the point (0, ) is a point of the region bounded by the semicircle x= 9-y^ 2 and the line x=0 then the equation x^ 2 -2x- =0 has

JEE Advanced Mathematics question

If the point is a point of the region bounded by the semicircle and the line then the equation has

Answer: (C)

The region is the right half of the disc ; the point lies on its straight edge, so . The roots of are , real iff . For , , so both roots

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Question ID VK-109949