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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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In a triangle PQR,  ∠R=π2PQR,\;\angle R = \frac{\pi }{2}. If tan⁡(P2)\tan \left( {\frac{P}{2}} \right) and tan⁡(Q2)\tan \left( {\frac{Q}{2}} \right) are the roots of ax2+bx+c=0,  a≠0a{x^2} + bx + c = 0,\;a \ne 0 then
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Correct option: C
c=a+bc = a + b
Option C (c=a+bc = a + b) is correct because it is derived from the trigonometric identity of tan⁡(P2+Q2)\tan(\frac{P}{2} + \frac{Q}{2}) and the given condition that ∠R=π2\angle R = \frac{\pi}{2}.

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