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 the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.

The measure of an angle whose supplement is three times as large as its complement, is 

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

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?

In ΔABC, if G is the centroid and AD is a median with length 9 cm, then the length of AG is:

In △ABC, D and E are the mid points of sides BC and AC, respectively. If AD = 10.8 cm, BE = 14.4 cm and AD and BE intersect at G at a right angle, then the area (in cm²) of △ABC is:

Given that ΔDEF ~ ΔABC. If the area of ΔABC is 9 cm² and area of ΔDEF is 12cm2 , BC = 2.1 cm, then the length of EF is: