Question

The lengths of tangents of drawn from an external point to a circle are equal.Proof: we are given a circle with centre $O$, a point $P$ lying outside the circle and two tangents $PQ,PR$ on te circle from $P$. We are required to prove that $P=PR$For this, we join $OP,OQ$ and $OR$. Then $\angle OQR$ and $\angle ORP$ are right angles, because these are angles between the radii and tangents, and according to Theorem $10.1$ they are right angles. Now in right triangles $OQP$ and $ORP$

• A. $OQ=OR$
• B. $OP=OP$
• C. $△OQP\cong △ORP$
• D. $PQ=PR$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $OQ=OR$
B $OP=OP$
C $△OQP\cong △ORP$
D $PQ=PR$