Find the value of P such that the vertex of `y=x^2+2px+13` is 4 units above the x-axis. (a) `+-2` (b) 4 (c) `+-3` (d) 5

Find the value of x if 2^(x-3)=1 (a) 1 (b) 2 (c) 3 (d) 4

Find the area bounded by the curves x^(2)+y^(2)=25,4y=|4-x^(2)|, and x=0 above the x-axis.

If 2x+3y=5 and 3x+2y=10 then x-y= (a) 3 (b) 4 (c) 5 (d) 6

The area of the region bounded by the curves y=|x-2| , x=1, x=3 and the x-axis is (A) 3 (B) 2 (C) 1 (D) 4

Find the values of p and q so that x^(4)+px^(3)+2x^(2)-3x+q is divisible by (x^(2)-1)

If 2x+y=5 and 3x-4y=2, then the value of 2xy is (a) 4 (b) 6 (c) 8 (d) 10

Find the value of x^2 for the following values of x (a) . (2,5) (b) . [-5,-1) (c) . [-3,4]

Find the value of 'p' for which lines 2px+ 3y = 7 and 2x+ y = 6 have no solution ?

P is a point on positive x-axis, Q is a point on the positive y-axis and ' O ' is the origin. If the line passing through P\ a n d\ Q is tangent to the curve y=3-x^2 then find the minimum area of the triangle O P Q , is 3 (b) 4 (c) 5 (c) 6

The line parallel to the x-axis and passing through the intersection of the lines a x+2b y+3b=0 and b x-2y-3a=0 , where (a , b)!=(0,0) , is (a)above the x-axis at a distance of 3/2 units from it (b)above the x-axis at a distance of 2/3 units from it (c)below the x-axis at a distance of 3/2 units from it (d)below the x-axis at a distance of 2/3 units from it