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In $a Δ P Q R, ∠ R = \frac{π}{2} . If \tan \frac{P}{2} and \tan \frac{Q}{2}$ are the roots of equation $a x^{2} + b x + c = 0 (a \neq 0)$ , then

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Correct option is A

We have,P+Q+R=π and R=π2∴ P+Q=π2⇒ P2+Q2=π4⇒ tan⁡P2+Q2=1⇒ tan⁡P2+tan⁡Q2=1−tan⁡P2tan⁡Q2

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In a ΔPQR,∠R=π2. If tan⁡P2 and tan⁡Q2 are the roots of equation ax2+bx+c=0(a≠0), then

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In $a Δ P Q R, ∠ R = \frac{π}{2} . If \tan \frac{P}{2} and \tan \frac{Q}{2}$ are the roots of equation $a x^{2} + b x + c = 0 (a \neq 0)$ , then