Question

two tangents pq and pr are drawn from an external point p to a circle with centre o . prove that qorp is a cyclic quadrilateral

Answer 1

Given  : two tangents PQ and PR are drawn from an external point P to a circle with center O.

To Find :  prove that QORP  is a cyclic quadrilateral

Solution:

two tangents PQ and PR

Hence ∠OQP = ∠ORP = 90°

=>  ∠OQP +  ∠ORP = 180°

∠OQP  and  ∠ORP are opposite angles in  QORP   quadrilateral

=>  if sum of opposite angles in Quadrilateral = 180°  then quadrilateral is cyclic

Hence QORP   quadrilateral is cyclic

Learn More:

For cyclic quadrilateral abcd, angle a-angle c=20. Then find a ...

brainly.in/question/8467533

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect at ...

brainly.in/question/15214191

ABCD is a cyclic quadrilateral inwhich AB = AD. angle BCD = 70 ...

brainly.in/question/14953904