JEE Main Mathematics question
Consider the following statements: 1. If the ratio of roots of the quadratic equation be , then . 2. If the roots of are and , then the roots of will be . 3. The roots of the equation are reciprocal to , if \left(cc'-aa'\right)^2=\left(ba'-cb'\right)\left(ab'-bc'\right). Which of the statements given above are correct?
Answer: (C)
Solution
(1) Roots give and , so , i.e. , which is true. (2) The roots of are and , so
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