D, E, F are the mid - points of the sides BC, CA and AB respectively of a ΔABC. Then the ratio of the areas of DEF and ΔABC is D, E, F.

In the given figure, ABCD is a square inscribed in a circle of radius 4 cm. CD is produced till point E. From E a tangent is drawn to the circle at point B.  What is the length (in cm) of AE?

In a regular polygon, the exterior and interior angles are in the ration 1:4.The number of sides of the polygon is

In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If ∠QPR = 40°, then ∠ACB is equal to: 

Equation of the straight line parallel to x-axis and also 3 units below x-axis is: 

In the given figure, SX is tangent. SX = OX = OR. If QX=3 cm and PQ = 9 cm. then what is the value (in cm) of OS?

∠A, ∠B, ∠C are three angles of a triangle. If ∠A -∠B =18°, ∠B – ∠C = 45°, then, ∠B, ∠A and ∠C are

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the midpoints of the sides PQ and PR respectively. What is the area (in cm²) of the shaded region?