AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT=75° and ∠BAC=45° and C being a point on the circle, then ∠ABC is equal to

Given that DE || BC, AD : DB = 3 : 4, find out ar(∆ADE)/ar(∆ABC)?

In a given circle, the chord PQ is of length 18 cm. AB is the perpendicular bisector of PQ at M. If MB=3. Find the length of AB?

If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm,  then the length of the median to its greatest side is

if θ is acute angle and sin (θ+18⁰) = 1/2, then the value of θ in circular measure is :

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are