If `int1/(5+4sinx)\ dx=Atan^(-1)(Btanx/2+4/3)+C` , then `A=2/3,\ \ B=5/3` (b) `A=1/3,\ \ B=2/3` (c) `A=-2/3,\ \ B=5/3` (d) `A=1/3,\ \ B=-5/3`

int(x^3)/(sqrt(1+x^2))\ dx=a(1+x^2)^(3setminus2)+bsqrt(1+x^2)+C , then (a) a=1/3,\ \ b=1 (b) a=-1/3,\ \ b=1 (c) a=-1/3,\ \ b=-1 (d) a=1/3,\ \ b=-1

If x+2 is a factor of x^2+a x+2b and a+b=4 , then (a) a=1,\ b=3 (b) a=3,\ b=1 (c) a=-1,\ b=5 (d) a=5,\ b=-1

If int(dx)/(sqrt(sin^3xcos^5x))=asqrt(cotx)+bsqrt(tan^3)x+c , then (a) a=-1,b=1/3 (b) a=-3,b=2/3 (c) a=-2,b=4/3 (d) none of these

(-3/5)^(-1) = (a)3/5 (b) 5/3 (c) -5/3 (d) -3/5

If (5/3)^(-5)xx(5/3)^(11)=(5/3)^(8x) , than x=? (a) -1/2 (b) -3/4 (c) 3/4\ \ (d) 4/3

Which of the following functions from A to B are one-one and onto? f_1={(1,\ 3),\ (2,\ 5),\ (3,\ 7)};\ \ A={1,\ 2,\ 3},\ \ B={3,\ 5,\ 7} (ii) f_2={(2,\ a),\ (3,\ b),\ (4,\ c)};\ \ A={2,\ 3,\ 4},\ \ B={a ,\ b ,\ c} (iii) f_3={(a ,\ x),\ (b ,\ x),\ (c ,\ z),\ (d ,\ z)};\ \ A={a ,\ b ,\ c ,\ d},\ \ B={x , y , z}

Show that the points A(-1,\ 4,\ -3),\ B(3,\ 2,\ -5),\ C(-3,\ 8,\ -5)a n d\ D(-3,\ 2,\ 1) are coplanar.

If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ f i n d \ : Axx(B∩C)

If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find (AxxB)nn(AxxC)

A fraction equivalent to 2/3\ is (a) (2+3)/(3+3) (b) (2-1)/(3-1) (c) (2\ xx\ 5)/(3\ xx\ 5) (d) (2+5)/(3+5)