If `x+y=8` , then the maximum value of `x y` is (a) 8 (b) 16 (c) 20 (d) 24

If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then one of the values of k is (a) 1/8 (b) 8 (c) 4 (d) 1/4

If (log)_2x+(log)_2ygeq6, then the least value of x+y is 4 (b) 8 (d) 16 (d) 32

If 8: x :: 16 : 35 Find the value of x (a) 35 (b) 70 (c) (35)/2 (d) 24

If x/2-x/3=5, then x= (a)8 (b) 16 (c)24 (d) 30

The maximum value of xy subject to x +y=8 is :

If the circle x^2+y^2+2ax+8y+16=0 touch x-axis , then, t h e value o f 'a' is (a) +-16 (b) +-4 (c) +-8 (d) +-1

If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then one of the values of k is 1/8 (b) 8 (c) 4 (d) 1/4

If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8, then find the length of SQ is (a) 2 (b) 1 (c) 8/9 (d) 16/9

For certain curves y= f(x) satisfying [d^2y]/[dx^2]= 6x-4 , f(x) has local minimum value 5 when x=1. 9. Number of critical point for y=f(x) for x € [0,2] (a) 0 (b)1. c).2 d) 3 10. Global minimum value y = f(x) for x € [0,2] is (a)5 (b)7 (c)8 d) 9 11 Global maximum value of y = f(x) for x € [0,2] is (a) 5 (b) 7 (c) 8 (d) 9

The maximum slope of the curve y=-x^3+3x^2+9x-27 is (a) 0 (b) 12 (c) 16 (d) 32