Q.

The coordinates of a point which is equidistant from the four points O,A,B and C. When O is the origin and A,B,C are the points on the axes of  respectively at distances 2,6,4 from the origin in the positive side is

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a

1,2,3

b

1,3,2

c

2,3,1

d

-1,-3,-2

answer is B.

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Detailed Solution

Suppose that P(x1,y1,z1) be the required point. It is at equal distances from all four points, OP=PA=PB=PCIt gives x=1,y=3,z=2Therefore, the required point is 1,3,2
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The coordinates of a point which is equidistant from the four points O,A,B and C. When O is the origin and A,B,C are the points on the axes of  respectively at distances 2,6,4 from the origin in the positive side is