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Consider the equation `(a+c-b)x^2+2cx+(b+c-a)=0` where a,b,c are distinct real number. suppose that both the roots of the equation are rational thenA. `f(x) = 0` has both roots as irrational numbersB. `f(x) = 0` has both roots as rational numbersC. `f(x) = 0` has imaginary rootsD. `f(x) = 0` has atleast one integer roots |
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Answer» Correct Answer - B::D Given `f(x) = (a + c - b)x^(2) - 2cx + (b + c -a)` `x = 1` `f(1) = a + c - b - 2c + b + c -a` `f(1) = 0` `:. x = 1` is root of `f(x) = 0` Product of root is raional both roots are rational and one root is integer. |
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