Question

Two tangents drawn from a point P outside the circle touch the circle at M and N. Then MONP is a

• A. Parallelogram
• B. Cyclic quadrialteral
• C. Rectangle

Answer 1

The correct option is B Cyclic quadrialteral


$\angle PNO=\angle PMO={90}^{\circ }$ ( $\because$ tangent and radius at the point of contact are perpendicular to each other.)

Therefore$\angle MON+\angle MPN={180}^{\circ }$
($\because$ sum of angles in a quadrilateral is ${360}^{\circ }$)

Thus MONP is a cyclic quadrilateral.