InterviewSolution
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InterviewSolution
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A plane cuts the co-ordinate axes at A, B and C respectively. If the centroid of `DeltaABC` is `(2,-3,4)`, find the equation of the plane. |
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Answer» Let the equation of plane be `x/a+y/b+z/c = 1"……"(1)` Which cuts x-axis at point A(a,0,0), y-axis at poin t `B(0,b,0)` and z-axis at point `C(0,0,z)` Now, Centroid of `DeltaABC` `= ((a+0+0)/(3),(0+b+0)/(3),(0+0+c)/(3))` `= (a/3,b/3,c/3)` Given that, `(a/3,b/3,c/3) = (2,-3,4)` `rArr a=6, b = - 9, c = 12` Therefore equation of plane. `x/6-y/9 + z/12 = 1` `rArr 6x-4y+3z = 36`. |
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