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If `a_1x^2 + b_1 x + c_1 = 0` and `a_2x^2 + b_2 x + c_2 = 0 ` has a common root, then the common root isA. `alpha = (c_(1)a_(2) - c_(2)a_(1))/(a_(1)b_(2)-a_(2)b_(1)) = (b_(1)c_(2)-b_(2)c_(1))/(c_(1)a_(2)-c_(2)a_(1))`B. `alpha = (c_(1)a_(2) - c_(2)a_(1))/(a_(1)b_(2)-a_(2)b_(1)) = (b_(1)c_(2)-b_(2)c_(1))/(c_(1)a_(2)-c_(2)a_(1))`C. the condition for one common root is `(c_(1)a_(2)+c_(2)a_(1))^(2)=(a_(1)b_(2)-a_(2)b_(1))(b_(1)c_(2)-b_(2)c_(1))`D. The condition for one common root is `(a_(1)b_(2)-b_(1)a_(2))^(2) = (c_(1)a_(2) - a_(1)c_(2)) (b_(1)c_(2) - b_(2)c_(1))` |
| Answer» Correct Answer - A | |