JEE MAIN - Mathematics Hindi (2023 - 29th January Evening Shift - No. 19)
माना समीकरण $$x^{7}+3 x^{5}-13 x^{3}-15 x=0$$ के मूल $$\alpha_{1}, \alpha_{2}, \ldots, \alpha_{7}$$ हैं तथा $$\left|\alpha_{1}\right| \geq\left|\alpha_{2}\right| \geq \ldots \geq\left|\alpha_{7}\right|$$ हैं । तो $$\alpha_{1} \alpha_{2}-\alpha_{3} \alpha_{4}+\alpha_{5} \alpha_{6}$$ बराबर है ___________
Answer
9
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