Let O be the origin. P is any point on a circle with OP as diameter. Two points Q and R are on same side of OP such that ∠POQ=∠QOR=θ. Let P,Q,R be z1,z2,z3 respectively such that 2√3z22=(2+√3)z1z3. Then the value of θ in degree measure is

Let O be the origin. P is any point on a circle with OP as diameter. T

1.	Let O be the origin. P is any point on a circle with OP as diameter. Two points Q and R are on same side of OP such that ∠POQ=∠QOR=θ. Let P,Q,R be z1,z2,z3 respectively such that 2√3z22=(2+√3)z1z3. Then the value of θ in degree measure is
Answer» Let $O$ be the origin. $P$ is any point on a circle with $O P$ as diameter. Two points $Q$ and $R$ are on same side of $O P$ such that $∠ P O Q = ∠ Q O R = θ .$ Let $P, Q, R$ be $z_{1}, z_{2}, z_{3}$ respectively such that $2 \sqrt{3} z_{2}^{2} = (2 + \sqrt{3}) z_{1} z_{3} .$ Then the value of $θ$ in degree measure is