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

AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If ∠CAB = 34°, then measure of ∠CBA is

AB is a chord of a circle in minor segment with center O.C is a point on the minorarc of the circle between the points A and B. The tangents to the circle at A and B meet at the point P. If ∠ACB = 102⁰ , then what is the measure of ∠APB?

If C₁, C₂ be the centres of rwo circles and r₁, r₂ be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.

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?

If in a triangle, the circumcenter, incentre, centroid and orthocenter coincide, then the triangle is

In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?

ABCD is a cyclic quadrilateral. AB and DC when produced meet at P, If PA 8 cm, PB = 6, PC = 4 cm, then the length (in cm) of PD is