Cube of `(-1)/2i s`
(a)`1/8` (b) `1/(16)` (c) `-1/8` (d) `(-1)/(16)`

If y(x) is solution of x(dy)/(dx)+2y=x^(2), y(1)=1 then value of y(1/2)= (a) -(49)/(16) (b) (49)/(16) (c) (45)/(8) (d) -(45)/(8)

((-1)/2)^5*\ ((-1)/2)^3 is equal to (a) ((-1)/2)^8 (b) -\ (1/2)^8 (c) (1/4)^8 (d) (-1/2)^(15)

The value of cos(1/2cos^(-1)(1/8)) is (a) 3/4 (b) -3/4 (c) 1/(16) (d) 1/4

{(1/3)^2}^4 is equal to (a) (1/3)^6 (b) (1/3)^8 (c) (1/3)^(24) (d) (1/3)^(16)

The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (c) (16)/7 (d) none of these

When simplified (256)^-(4^((-3//2)\ )) is (a) 8 (b) 1/8 (c) 2 (d) 1/2

(6^(-1)-8^(-1))^(-1) = (a) 1/(24) (b) 24 (c) -24 (d) -1/(24)

The coordinates of the point on the ellipse 16x^2 +9y^2 =400 where the ordinate decreases at the same rate at which the abscissa increases, are (a) (3,3/16) and (-3,-3/16) (b) (3,-16/3) and (-3,16/3) (c) (1/16,1/9) and (-1/16,-1/9) (d) (1/16,-1/9) and (-1/16,1/9)

If a >0, then least value of (a^3+a^2+a+1)^2 is (a) 64 a^2 (b) 16 a^4 (c) 16 a^3 (d)d. none of these

If 2a + (1)/(2a) = 8 , find : (ii) 16 a^(4) + (1)/( 16a^4)