If `a<0,b>0,` then `sqrt(a)sqrt(b)` is equal to (a)`-sqrt(|a|b)` (b) `sqrt(|a|b)i` (c) `sqrt(|a|b)` (d) none of these

If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |costheta| is equal to (a) 1/(2|b|)sqrt(d^2-a^2) (b) 1/(2|a|)sqrt(d^2-a^2) (c) 1/(2|d|)sqrt(d^2-a^2) (d) none of these

If cos28^0+sin28^0=k^3, t h e ncos17^0 is equal to (a) (k^3)/(sqrt(2)) (b) -(k^3)/(sqrt(2)) (c) +-(k^3)/(sqrt(2)) (d) none of these

If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to (a) 2sinx//sqrt(sin2x) (b) 2cosx//sqrt(cos2x) (c) 2cosx//sqrt(sin2x) (d) 2sinx//sqrt(cos2x)

If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) is equal to- (a) log"(sqrt(2)+1) (b) 1 (c) 1+sqrt(2) (d) none of these

If theta=3alpha and sintheta=a/(sqrt(a^2+b^2)), the value of the expression acos e calpha-bsecalpha is (a) a/(sqrt(a^2+b^2)) (b) 2sqrt(a^2+b^2) (c) a+b (d) none of these

Which of the following is the value of sin 27^0-cos 27^0? (a) -(sqrt(3-sqrt(5)))/2 (b) (sqrt(5-sqrt(5)))/2 (c) -(sqrt(5)-1)/(2sqrt(2)) (d) none of these

d/(dx)(cos^(-1)sqrt(cosx)) is equal to (a) 1/2sqrt(1+s e cx) (b) sqrt(1+secx) (c) -1/2sqrt(1+secx) (d) -sqrt(1+secx)

The value of ("lim")_(xto2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

Answer the equation: int(dx)/(sqrt(ax+b)-sqrt(ax+c))

The value of |-1 2 1 3+2sqrt(2)2+2sqrt(2)1 3-2sqrt(2)2-2sqrt(2)1| is equal to a. zero b. -16sqrt(2) c. -8sqrt(2) d. none of these