Quantitative Aptitude - Arithmetic Ability Questions

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is

∆DEF is right angled at E. If tanD = 4/3, then what is the value of tanF ?

If 3a+4b3c+4d = 3a-4b3c-4d, then 

What is the reflection of the point (6, -1) in the line y = 2?

From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (√3=1.732)

Simplify 486b3x2a4z3/27a3b2z