Find the sum of first all integers between 100 and 1000 which are divisible by 7.

Show that the lines, given below, Intersect each other.

Find the points of local maxima and local minima of f(x) = x 3 – 6 x 2 + 9x + 2014, x ε

If α, β are roots of x2 – 3ax + a2 = 0, find the value(s) of a if α2 + β2 = 7 4 .

If y =

a) If pth term of an A.P is q and qth term of the A.P. is p, find its rth term.

b) Find the sum of all the integers between 100 and 1000 that are divisible by 9.

Find the sum of first all integers between 100 and 1000 which are divisible by 7.