Q) Two tangents pq and qr are drawn from an external point to a circle with centre 'o'.balu said the quadrilateral ORP is a circle do you agree ? Give reason?
Q) Two tangents pq and qr are drawn from an external point to a circle with center 'o'.balu said the quadrilateral ORP is a circle do you agree ? Give reason? sol) what is cyclic quadrilateral? A ) The sum of either pairs( /_A + /_C = 180 deg or /_B + /_D 180 deg ) of opposite angles of cyclic quadrilateral is 180 degrees Given :- PQ and PR are two tangents drawn at points "Q" and "R" from an external point"P" with center"O" Required to prove( RTP ) :- QORP is a cyclic Quadrilateral Proof :- OR _|_ PR and OQ _|_ PQ [ tangent at a point on the circle is perpendicular to the radius through point of contact ] ∠ ORP = 90° ∠ OQP = 90° ∠ ORP + ∠ OQP = 180° Hence balu said correct QOPR is a cyclic quadrilateral. As the sum of the opposite pairs of angle is 180 °