`int_a^b |x|/xdx, altb`, is equal to (A) `b-a` (B) `b+a` (C) `|b|-|a|` (D) `|b|+|a|`

int_(a)^(b) sqrt((x-a)/(b-x))dx is equal to

int_a^b sgn(x)dx equals (a,b in R)

a^2b^3\ X\ 2a b^2 is equal to: (a) 2a^3b^4 (b) 2a^3b^5 (c) 2a b (d) a^3b^5

If |(a-b-c, 2a, 2a),(2b, b-a-c, 2b),(2c, 2c, c-a-b)|=(a+b+c)(x+a+b+c)^2 then the value of x is equal to (A) -2(a+b+c) (B) a+b+c (C) -(a+b+c) (D) 2(a+b+c)

"lim"_(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a) a/b (b) (2a)/b (c) a/(2b) (d) b/a

If (cosx)/a=(cos(x+theta))/b=(cos(x+20))/c=(cos(x+3theta))/d then (a+c)/(b+d) is equal to (a) a/d (b) c/b (c) b/c (d) d/a

If tantheta=a/b ,then bcos2theta+asin2theta is equal to (a) a (b) b (c) a/b (d) b/a

a(b-c) +b(c - a) +c(a-b) is equal to

If A and B are two matrices such that AB=A, BA=B, then A^25 is equal to (A) A^-1 (B) A (C) B^-1 (D) B

a^3 x 2a^2b x 3a b^5 is equal to: (a) a^6b^6 (b) 23 a^6b^6 (c) 6a^6b^6 (d) None of these