`3/4:1/2 27 y : ?` `12\ y` b. `18\ y` c. `21\ y` d. `24\ y` e. none of these

(3)/(4):(1)/(2)27y:?12backslash y b.18backslash y c.21backslash y d.24backslash y e. none of these

If earths rotational motion increases by 12% then the relation between a day and hours will be 12 hou r s=1 d a y b. 20 5/7 hou r s=1 d a y c. 21 3/7hou r s=1 d a y d. None of these

The equation of the circle passing through (1/2, -1) and having pair of straight lines x^2 - y^2 + 3x + y + 2 = 0 as its two diameters is : (A) 4x^2 + 4y^2 + 12x - 4y - 15 = 0 (B) 4x^2 + 4y^2 + 15x + 4y - 12 = 0 (C) 4x^2 + 4y^2 - 4x + 8y + 5 = 0 (D) none of these

The equation of the circle passing through (1/2, -1) and having pair of straight lines x^2 - y^2 + 3x + y + 2 = 0 as its two diameters is : (A) 4x^2 + 4y^2 + 12x - 4y - 15 = 0 (B) 4x^2 + 4y^2 + 15x + 4y - 12 = 0 (C) 4x^2 + 4y^2 - 4x + 8y + 5 = 0 (D) none of these

If y=log_e(x/(a+b x))^x , then x^3y_2 is (a) (x y_1-y)^2 (b) (1+y)^2 (c) ((y-x y_1)/(y_1))^2 (d) none of these

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 (b) 1 (c) -1 (d) none of these

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 (b) 1 (c) -1 (d) none of these

If y=(sin^(-1)x)^2,\ then (1-x^2)y_2 is equal to x y_1+2 (b) x y_1-2 (c) x y_1+2 (d) none of these

The area of the region given by x^2+y^2-6y<=0&y<=x is (9pi-9)/4 b. (9pi-18)/4 c. (3pi+9)/4 d. none of these

If y=sin(m\ sin^(-1)x) , then (1-x^2)y_2-x y_1 is equal to m^2y (b) m y (c) -m^2y (d) none of these