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CIRCLESA circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementaryIn figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BRA circle touches the side BC of a triangle ABC at P and touches AB and AC when produced at Q and R respectively as shown in Prove that the parallelogram circumscribing a circle is rhombusTwo tangents PA and PB are drawn to the circle with center O, such that ÐAPB=120o.  Prove that OP=2APDownload this Full Paper Now Also see:HOTS Questions of Mathematics (CIRCLES)HOTS Questions of Mathematics (CO-ORDINATE GEOMETRY)HOTS Questions of Mathematics ( Heights & Distance)HOTS Questions of Mathematics (CONSTRUCTIONS)HOTS Questions of Mathematics ( ARITHMETIC PROGRESSIONS)  Download all the above HOTS Questions in one ZIP file

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