InterviewSolution
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InterviewSolution
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The point equidistant from the `O(0,0,0),A(a,0,0),B(0,b,0)` and `C(0,0,c)` has the coordinatesA. `(a,b,c)`B. `(a//2,b//2,c//2)`C. `(a//3,b//3,c//3)`D. `(a//4,b//4,c//4)` |
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Answer» Correct Answer - B Let `P(x,y,z)` be the required point. Then `OP=AP=BP=CP` Now `OP=AP` `impliesOP^(2)=AP^(2)` `impliesx^(2)+y^(2)+z^(2)=(x-a)^(2)+y^(2)+z^(2)` `implies-2ax+a^(2)=0impliesx=a/2` Similarly, `OP=BP` and `OP=CP`implies `y=b/2` and `z=c/2` Hence required point has the coordinates `(a//2,b//2,c//2)`. |
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