Question

# If from an external Point P of circle with
Centre o, two tangents PQ & PR are drawn
Such that angleQPR 120° Prove that 2PQ= PO​

Answer 1

$\bf\huge\underline\red{Follow me}$

Answer 2

It is Proved that 2PQ= PO

Explanation:

∠QPR=120°

∵ The line joining points P and O will bisect the angle QPR

∴ ∠OPQ=60°

NOW, in triangle ΔPOQ

WE Have

   $Cos60=\frac{PQ}{OP}$

    $\frac{1}{2} =\frac{PQ}{OP} \\OP=2PQ$

so that two tangents PQ & PR are drawn

Such that angleQPR 120° are equal as 2PQ= PO

HENCE PROVED.