If `2^(x)=8^(y+1)` and `9^(y)=3^(x-9)` then `y` is
(a) `6`
(b) `3`
(c) `4`
(d) `9`

If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

If x/6+x/4=x/2+3/4, then x= (a) 9 (b) 6 (c) -9 (d) 4

If y=y(x) satisfies the differential equation 8sqrt(x)(sqrt(9+sqrt(x)))dy=(sqrt(4+sqrt(9+sqrt(x))))^(-1)dx ,x >0a n dy(0)=sqrt(7,) then y(256)= 16 (b) 80 (c) 3 (d) 9

If (x+y)^3-\ (x-y)^3-6y\ (x^2-y^2)=\ k y^3, then k= (a)1 (b) 2 (c) 4 (d) 8

If 2^(x) = 4 xx 2^(y) and 9 xx 3^(x) = 3^(-y) , find the values of x and y.

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is (a) 9 (b) 3 (c) 7 (d) 6

The sum of the coefficients in the terms of 2x^2y-3x y^2+4x y is (a) -3 (b) 3 (c) 9 (d) 5

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 equation x= t^(3) + 9 and y= (3t^(3))/(4) + 6 represents a straight line where t is a parameter. Then y- intercept of the line is : (a) -3/4 (b) 9 (c) 6 (d) 1

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is 9 (b) 3 (c) 7 (d) 6