Two tangents are drawn from an external point P that touches the circle at points Q and R respectively. The centre of the circle is O. The lines OQ and OR are drawn to complete the quadrilateral OQPR. The resulting quadrilateral is a ________necessarily.
PQ = PR (Tangents drawn from an external point to the circle are equal in length.)
OQ = OR (Radius of the circle.)
Thus, when the pairs of adjacent sides through the opposite vertices are equal, the quadrilateral is a “kite”.
Also, it is not given that OR=PR.
Hence, OQPR may or may not be a rhombus.
Thus, OQPR is a kite necessarily.