What is the value of Cot 60°- Cos 45°?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?

Slope of the line AB is -2/3. Co-ordinates of points A and B are (x , -3) and (5 , 2) respectively. What is the value of x?

What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?

What is the reflection of the point (4, 7) in the line y = -1?

The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

Sum of twice a fraction and its reciprocal is 17/6. What is the fraction?

If a - b = 2 and ab = 24, then what is the value of a3- b3?