JEE Main Mathematics question
In writing an equation of the form ; the coefficient of is written incorrectly and roots are found to be equal. Again in writing the same equation the constant term is written incorrectly and it is found that one root is equal to those of the previous wrong equation while the other is double of it. If and be the roots of correct equation, then is equal to
Answer: (B)
Solution
The first wrong equation keeps and has equal roots , so ; the second keeps and has roots , so \frac$
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