The coordinates of a point on the line x-1 2 = y-2 3 = z 3 at a distance 1 unit from the point (-1,-1,- 3) are

JEE Advanced Mathematics question

The coordinates of a point on the line at a distance 1 unit from the point are

Answer: (A)

A general point on the line is . Note that is itself on the line, at . So

=(2++(3++(3(t+1)=(t++9+3)=16(t+ .

Setting gives , so or . - : \tfrac$32,\

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Question ID VK-109833