If z=x+iy and `x^(2)+y^(2)=16`, then the range of `abs(abs(x)-abs(y))` is

If x^(2)+y^(2)=1 , then the value of (1+x+iy)/(1+x-iy) .

If x^2+y^2=x^2y^2 then find the range of (5x+12 y+7x y)/(x y) .

If y^2=x z and a^x=b^y=c^z , then prove that (log)_ab=(log)_bc

If x and y are real numbers such that 16^(x^(2)+y)+16^(x+y^2)=1 , then find the values of x and y.

Let x ,y ,z in R such that x+y+z=6a nd x y+y z+z x=7. Then find the range of values of x ,y ,a n dzdot

Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is (a) x+y-2=0 (b) 8x+y-9=0 (c) 7x-y-6=0 (d) None of these

If z= x-iy" and "z^(1/3)= p+iq , then (((x)/(p)+(y)/(q)))/((p^(2)+q^(2)) is equal to