NDA 2024 Mathematics question
If , and are in GP, then consider the following in respect of the equation : 1. The equation has imaginary roots. 2. The ratio of the roots of the equation is where is a cube root of unity. 3. The product of roots of the equation is . Which of the statements given above are correct?
Answer: (D)
Solution
GP gives . Discriminant , so the roots are imaginary; 1 is correct. The roots are and $
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