Let ‘O’ be the centre of a circle, PQ is a diameter, then prove that `angle PRQ = 90^@` (OR) Prove that angle in a semi-circle is right angle.

Prove that the angle in a semicircle is right angle. (By vector method)

If in a triangle r_1=r_2+r_3+r , prove that the triangle is right angled.

In the figure , O is the centre of the circle and angle POR = 120^@ . Find angle PQR " and " angle PSR

In the given figure, PR gt PQ and PS bisects angle QPR. Prove that angle PSR gt angle PSQ .

If a line is drawn through the centre of a circle to bisect a chord, then prove that it is perpendicular to the chord.

In the given figure, angle PQR = 100^(@), where P, 9 and R are points on a circle with centre O. Find angle OPR.

PQ is tangent drawn from point P to a circle with centre O and QR is a diameter of the circle, such that anglePOR=120^(@) . Then, angleOPQ=…….. .

In a right angles triangle, prove that r+2R=s.

If angle A and angle P are acute angles such that sin A =sin P then prove that angle A =angle P

In the given figure. If TP and TQ are the two tangents to a circle with centre O so that angle POQ= 110^(@) , then angle PTQ is equal to …….