InterviewSolution
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InterviewSolution
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यदि `x=a(b-c),y=b(c-a),z=c(a-b)` है तो `(x/a)^(3)+(y/b)^(3)+(z/c)^(3)` का मान है :A. `(xyz)/(abc)`B. 0C. `(3xyz)/(abc)`D. `(2xyz)/(abc)` |
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Answer» Correct Answer - C `x=a(b-c)` `y=b(c-a)` `z=c(a-b)` Let `x/a=b-c , x/a=A` `y/b=c-a, y/b=B` `z/c=a-b, z/c=C` `:. A+B+C=a-c+c-a-b=0` `:. A^(3)+B^(3)+C^(3)=3ABC` `:. (x/a)^(3)+(y/b)^(3)+(z/c)^(3)` `=3xx x/axx y/bxxz/c=(3xyz)/(abc)` |
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