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If `(a)/(2b) = (c )/(d) = (e )/(3f)`, then the value of `(2a^(4)b^(2)+3a^(2)c^(2)-5e^(4)f)/(32b^(6)+12b^(2)d^(2)-405f^(5))` isA. `(a^(4))/(16b^(4))`B. `(16c^(4))/(d^(4))`C. `(e^(4))/(27f^(4))`D. `(81c^(4))/(d^(4))` |
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Answer» Correct Answer - A If `(a)/(2b) = (c )/(d) = (e )/(3f)` , then ……….. `(a)/(2b) = (c )/(d) = (e )/(3f) = x` (left) `implies a = 2bx, c = dx, e = 3fx` Now, `N r. = 2a^(4)b^(2)+3a^(2)c^(2)-5e^(4)f` `= 2(2bx)^(4)b^(2)+3(2bx)^(2) (dx)^(2) - 5(3fx)^(4)f` `(32b^(6)+12b^(2)d^(2)-405f^(5))xx4` now `(2a^(4)b^(2)+3a^(2)c^(2)-5e^(4)f)/(32b^(6)+12b^(2)d^(2)- 405f^(5))` `=((32b^(6)+12b^(2)d^(2)-405f^(5))x^(4))/(32b^(6)+12b^(2)d^(2)-405f^(5))` `x^(4) = (a^(4))/(16b^(4)) or (e^(4))/(81f^(4))` |
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