In adjacent figure, PR > PQ and PS bisects `/_QPR`. Prove that `/_PSR > /_PSQ`.

In the adjacent figure, AB = BC and AC = CD . Prove that : /_ BAD : /_ ADB = 3 : 1.

In the adjacent figure lines PQ and RS intersect each other at point O. If anglePOR : angleROQ = 5: 7, find all the angles.

In the adjacent figure BE bot DA and CD bot DA then prove that m angle1 ~= m angle3 .

In the figure PR and QS are two diameters. Is PQ = RS?

In a triangle PQR, anglePQR = 90^@ S is any point onQR. Prove that PS^2+QR^2 = PR^2+QS^2 .

In the adjacent figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC||PR. Show that BC || QR.

In a right angled traingle PQR , angleP is right angle and PS is perpendicular to the hypetnuse QR. Prove that 1/(PS^2)-1/(PQ^2)=1/(PR^2)

In the adjacent figure PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflected back along CD . Prove that AB || CD.

In DeltaPQR , PQ=24cm , PR=32cm and PS is the bisector of /_QPR , where QS=8cm . Then the length of SR=

In the adjacent figure ray OS stands on a line PQ. Ray OR and ray OT are angle bisectors of anglePOS and angleSOQ respectively. Find angleROT .