Quantitative Aptitude - Arithmetic Ability Questions

For triangle PQR, find equation of altitude PS if co­-ordinates of P, Q and R are (6,2), (0,3) and (­-4,5) respectively?

Reflection of the point (2,­7) in the y­axis is

If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer , the resulting number is always divisibleby

The points A(x,2), B(­2,1) and C(6,­3) are collinear. Find x?

If √(1 - cos2A)/cosA = x, then the value of x is

If Sin θ = 12/13, then what is the value of Cot θ?

If C + 1C = 3, then what is the value of C-37+1C7?

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