Chord AB of circle of radius 10 cm is at a distance 8 cm from the centre O. If tangents drawn at A and B intersect at P, then the length of the tangent AP (in cm) is:

PK is the median and M is a centroid of triangle PQR. If PK is 15 cm, then find length of PM?

Angle subtended by a chord AB on the centre of the circle is 140 degree. What will be the angle subtended by the chord AB on the major are of the circle? 

In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is

AB and CD are two parallel chords of a circle lying on the opposite side of the centre and the distance between them is 17cm. The length of AB and CD are 10 cm and 24 cm, respectively. The radius (in cm) of the circle is

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

If the orthocenter and the centroid of a triangle are the same, then the triangle is:

ABCD is a cycle quadrilateral and BC is diameter of the related circle on which A and D also lie. ∠BCA =19⁰ and ∠CAD=32⁰. What is the measure of ∠ACD?