Let p,q,r are lengths of an acute angled triangle △PQR opposite to sides QR,PR,PQ respectively. The perpendiculars are drawn from the angles P, Q and R on opposite sides and produced to meet the circumscribing circle. If these produced parts be θ1,θ2,θ3 respectively, then the value of (p/θ1)+(q/θ2)+(r/θ3)tanP+tanQ+tanR is(correct answer + 1, wrong answer - 0.25)

Let p,q,r are lengths of an acute angled triangle △PQR opposite to s

1.	Let p,q,r are lengths of an acute angled triangle △PQR opposite to sides QR,PR,PQ respectively. The perpendiculars are drawn from the angles P, Q and R on opposite sides and produced to meet the circumscribing circle. If these produced parts be θ1,θ2,θ3 respectively, then the value of (p/θ1)+(q/θ2)+(r/θ3)tanP+tanQ+tanR is(correct answer + 1, wrong answer - 0.25)
Answer» Let $p, q, r$ are lengths of an acute angled triangle $△ P Q R$ opposite to sides $Q R, P R, P Q$ respectively. The perpendiculars are drawn from the angles $P$ , $Q$ and $R$ on opposite sides and produced to meet the circumscribing circle. If these produced parts be $θ_{1}, θ_{2}, θ_{3}$ respectively, then the value of $\frac{(p / θ_{1}) + (q / θ_{2}) + (r / θ_{3})}{tan P + tan Q + tan R}$ is (correct answer + 1, wrong answer - 0.25)