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

All angles in the same segment of a circle are __________

All angles in the same segment are ……….

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

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

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 : Solve 1/x -3 - 1/x + 5 = 1/6.

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 : If in a triangle, the area of the square drawn on one side is equal to the sum of the areas of the squares drawn on other two sides, then prove that the angle opposite to the first side will be a right angle.

Answer any One question : Determine the equation whose roots are the square of the roots of the equation x^2 + x + 1 = 0.

Answer any one question : The distance between two pillars is 150 m. Height of one is thrice the other. From the midpoint of the line segment joining the foot of the pillars, the angle of elevation of the top of the pillars are complementary to each other. Find the height of the shorter pillar.