In given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that `angle BEC = 130^(@) and angle ECD = 20^(@)`. Find `angle BAC.

In Fig, A, B, C and D are four points on a circle AC and BD intersect at a point E such that BEC=130^@ and ECD=20^@ . Find BAC.

In the given figure, A, B and C are three points on a circle with centre O such that angle BOC = 30^(@) and angle AOB = 60^(@) . If D is a point on the circle other than the arc ABC, find angle ADC .

In the given figure, angle ABC = 69^(@), angle ACB = 31^(@) , find angle BDC .

If A, B, C and D aare four points and vec AB = vec DC then vec AC + vec BD =

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

If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to

In the given figure, AB, BC and Ac are tangents to the circle at P,Q and R. If AB = AC, show that Q is the mid-point of BC.

In the given figure, PQ is the tangent at a point C on a circle with centre O. If AB is a diameter and |__CAB=30^(@) , find |__PCA .

The curves y=x^(2) and 6y=7-x^(3) intersect at the point (1, 1) at an angle :

In the given figure ,ABC is right angles at B.It AC=17cm and BC=8cm,then 15 sec A+8 cot A is: