Find the positive solutions of the system of equations `x^(x+y)=y^n and y^(x+y)= x^(2n). y^n`, where ` ngt0`

Find the solution of homogeneous system of equations: x-2y+z=0;x+y=z and 3x+6y=5z

The solution set of the system of equations x+y=(2 pi)/(3),cos x+cos y=(3)/(2), where x and y are real,is

Equation of the tangent to the curve x^(n)-y^(n)=0 at (2, 2) is

Let ' n ' is the number of ordered pair (x ,y) satisfying the system of equations {x^2y^2-2x+y^2=0 2x^2-4x+3+y^2=0(x , y in R) and ' S ' is the sum of all the values of xa n dy satisfying the given system of equations then n > S (b) n

(x+y)^(n) + (x-y)^(n) is equal to

Number of un-order pair solution of (x,y) ofthe equation (1)/(x)+(1)/(y)=(1)/(2007), where x,y in N is

If l + m + n = 0, then the system of equations -2x + y + z = l x - 2y + z = m x + y - 2z = n has

If the system of equations x+y+z=1,x+2y+4z=n and x+4y+10z=n^(2) .are consistent, then the sum of the values of n is-...

If tan^(2)(x+y)+cot^(2)(x+y)=1-2x-x^(2), then (where, n in Z )