The vertices of a triangle are on a circle.∠A = 60◦, BC = 10cma) Draw the diameter BP and join P C.What are the angles of triangleBP Cb) What is the radius of the circle

If C(3, 8) is the third vertex of triangle ABC then what is the altitudefrom C to AB?Answer any four questions. Each carries 3 scores5) The vertices of a triangle are on a circle.∠A = 60◦, BC = 10cma) Draw the diameter BP and join P C.What are the angles of triangleBP Cb) What is the radius of the circle?6) In the figure P A and P B are the tangents from P to the circle.∠AP B = 40◦a) What is the measure of ∠AOB?b) Find ∠ACB and ∠ADB?7) a) Draw co-ordinate axes and mark the points A(4, 0), B(0, 4), C(−4, 0)and D(0, −4).b) Suggest a suitable name to ABCD.c) Find the area of ABCD.

Isosceles triangle ABC, with AB = BC, is inscribed in a circle with center O.If angle OBC = 10°, what is the measure of angle ACO?A) 10°B) 70°C) 80°D) 160°

In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively, let D be a point on the line segment BC such that AD is perpendicular to BC. If AD=3 cm then what is the radius in cm of the circle circum scribing the triangle ABC?Choices:- 17.05 27.85 22.45 26.25

and AC are tangents to the circle, centre O. AO is a straight line passing through BC at D. If AO 10.8 cm and OC = 4.3 cm find B a). AC, b). AB, D A c). ∠BAO, d). ∠AOB, e). OD, f). BD, g). ZOBD, h). ∠DBA.

ABCDEis a circle O . The diameter   AC is extended to the point F so that CF=16cm. The line BF is the tangent to the circle at B and FDE is a straight line such that FD=18cm andDE=14cm . The radius of the circle is rcm . Calculate(a) the length in cm of  FB(b) the value of  r .