Let `(x_0, y_0)` be the solution of the following equations: `(2x)^(1n2)=(3y)^(1n3)` `3^(1nx)=2^(1ny)` The `x_0` is `1/6` (b) `1/3` (c) `1/2` (d) 6

Solve the following simultaneous equations 2/x + 2/(3y) = 1/6 , 3/x + 2/y =0

Number of integral solutions of the equation,3tan^(-1)x+cos^(-1)((1-3x^(2))/((1+x^(2))^((3)/(2))))=0 is ,1 (b) 2 (c) 0 (d) Infinite

The number of solutions of the system of equations: 2x+y-z=7x-3y+2z=1, is x+4y-3z=53(b)2 (c) 1 (d) 0

If a,B and y are the roots of x^(3)+2x+1=0 then roots of equation (x+1)^(3)+2(x^(2)-1)(x-1)-(x-1)^(3)=0 are

Let y=y(x) be the solution of the differential equation, (x^(2)+1)^(2)dy/dx+2x(x^(2)+1)y=1 such that y(0) =0. If sqrta y(1)=pi/32 ,then tha value of 'a' is (a) 1/4 (b) 1/2 (c) 1 (d) 1/16

The number of solutions of the system of equations: 2x+y-z=7,\ \ x-3y+2z=1,\ \ x+4y-3z=5 is (a) 3 (b) 2 (c) 1 (d) 0