Answer any One question : prove that semicirular angle is a right angle.

Semi-circular angle may or not right angle

Answer any One queation : Prove that, if a perpendicular is draw on the hypotenuse from the right angled triangle, two triangles so formed on the two sides of the perpendicular are each similar to the original triangle and also similar to each other.

Answer any one question : Prove that angles in the same segment of a circle are equal.

Answer any one question : Prove that the quadrilateral foemed by the internal bisectors of the four angles of a quadrilateral is cyclic.

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

Answer any One question : In triangleABC , AD is perpendicular on BC and AD^2 = BD . DC, prove that angleBAC is a right angle.

In any triangle ABC, if cosA cos B + sin A sin B sinC =1 then prove that the triangle in an isosceles right angled.

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.

Answer any Two questions : An are of length 220 cm of a circle makes an angle 60^@ at the centre. Find the radius of the circle.

Answer any One question : If a quadrilateral ABCD is circumscribed about a circle with centre O, prove that AB + CD = BC + DA.