Geometry Aptitude Questions for Competitive Exams

Two circles intersect at A and B, P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is 

Two equal circles of radius 4 cm intersect each other such that each passes through the center of the other. The length of the common chord is

The length of a chord which is at a distance of 12 cm from the center of a circle of radius 13 cm is 

The length of the common chord of two circles of radii 30 cm and 40 cm whose centers are 50 cm apart is (in cm) 

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between there interior angles is 2 : 3. The number of sides of these polygons is respectively 

If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that 

If the circumcenter of the triangle lies outside it, then the triangle is 

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then 

ABC is an isosceles triangle with AB = AC. The side BA is produced to D such that AB = AD. If ∠ABC = 30°, then ∠BCD is equal to