Quantitative Aptitude - Arithmetic Ability Questions

If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2)

If 1aa2+1 = 3, then the value of a6+1a3 is

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

If cot π/3c -­ tan π/4c = x, then the value of x is

If 3x -­ 7 = 5x ­- 1, then the numerical value of (x ­- 4)2 is 

For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given options.

Select the odd word from the given alternatives.