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यदि `x+y+z=0` है तो `(x^(2))/(yz)+(y^(2))/(zx)+(z^(2))/(xy)=?`A. `(xyz)2`B. `x^(2)+y^(2)+z^(2)`C. `9`D. `3` |
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Answer» Correct Answer - D `(x^(2))/(yz)+(y^(2))/(zx)+(z^(2))/(xy)` `=(x^(2))/(yz)xx x/x +(y^(2)xxy)/(zx xxy)+(z^(2))/(xy)xx z/z` `= (x^(3)+y^(3)+z^(3))/(xyz)` `( :.` If `x+y+z=0` then `x^(3)+y^(3)+z^(3)implies3xyz)` `:.(3xyz)/(xyz)=3` |
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