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

Let (x_0, y_0) be the solution of the following equations: (2x)^(ln2)=(3y)^(ln3) , 3^(lnx)=2^(lny) Then x_0 is (a) 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

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

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

Find the value of (x+y) from the following equation: 2{:[(1,3),(0,x)] + [(y,0),(1,2)] = [(5,6),(1,8)] .

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

The solution of the differential equation x (dy)/(dx) + y = (1)/(x^(2)) at (1, 2) is a) x^(2)y + 1 = 3x b) x^(2)y + 1 = 0 c) xy + 1 = 3x d) x^(2) (y + 1) = 3x

Which of the following is not the root of the equation |(x,-6,-1),(2,-3x,x-3),(-3,2x,x+2)|=0 ? a)2 b)0 c)1 d)-3

The coefficients of x^n in the expansion of (1+x)6(2n) and (1+x0^(2n-1) are in the rtio of (A) 1:2 (B) 1:3 (C) 3:1 (D) 2:1

The roots of the equation det [(1-x, 2, 3),(0,2-x,0),(0,2,3-x)]=0 are (A) 1 and 2 (B) 1 and 3 (C) 2 and 3 (D) 1,2, and 3