Draw a ray AB with initial point A and construct a ray AC such that `angleBAC` = 60°.

In the given figure A,B,C and D are four points on a circle, AC and BD intersect at a point E such that angleBEC=130^(@) and angleECD=20^(@) . Find angleBAC .

Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.

Construct the following angles at the initial point of a given ray and justify the construction. (a) 90^(@) (b) 45^(@)

Draw the following triangles and construct circumcircles for them. In Delta ABC , AB= 6cm, BC = 7cm " and " angle A = 60^@

D is a point on side BC of DeltaABC such that , angleADC=angleBAC . Show that AC^(2)= BCxxDC .

Let ABC be a triangle with angleBAC = 2pi//3 and AB = x such that (AB) (AC) = 1. If x varies, then find the longest possible length of the angle bisector AD

If a ray of light is incident at a glass surface at the Brewster's angle of 60^(@) , then the angle of deviation inside glass is

Draw and locate the centroid of the triangle ABC where right angle at A, AB= 4 cm and AC = 3cm.

Draw and locate the centroid of the triangle ABC where right angle at A, AB = 8 cm and AC = 6 cm.

Point D and E are the points on sides AB and AC such athat AB = 5.6 , AD = 1.4 , AC =7.2 and AE = 1.8 . Show that DE||BC.