D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

What is the reflection of the point (5, 2) in the line x = -3?

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?

If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?