GATE | GATE-CS-2015 (Set 2) | Question 65
In a triangle PQR, PS is the angle bisector of ∠QPR and ∠QPS = 60°. What is the length of PS?
(A) a
(B) b
(C) c
(D) d
Answer: (B)
Explanation:
Area of a Δ = 1/2 * ac sinB
= 1/2 * bc sinA
= 1/2 ab sinC
Here area (ΔPQR) = area (ΔPQS) + area (ΔPRS)
1/2 rq sin120 = 1/2 PS * r sin60 + 1/2 PS * q sin60
=> PS = rq/(r+q)
There seems to be something wrong with question as it says ∠QPS = 60°. The question is same on GATE official site paper.
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Last Updated :
28 Jun, 2021
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