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The shortest distance from (1,1,1) to the line of intersection of the pair of planes xy+yz+zx+y^(2)=0 is |
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Answer» `sqrt(8/3)` `RARR y(x+y)+z(x+y)=0` `rArr` Line of intersection is `x=-y=z`. Distance of OP on line having direction RATIOS 1,-1 is `1/sqrt(3)`. Then required shortest distance `=sqrt(3-1/3)=sqrt(8/3)`. |
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