If `( 5+3i)(x+iy)=3−4i` then `34x=`

If x +iy =(3+5i)/(7-6i) then y is equal to

If (1+2i) (2+3i)(3+4i)=x+iy,x,y in R then x^(2)+y^(2) is

If det|6i -3i 1 4 3i-1 20 3 i|=x+i y , then a. x=3,y=1 b. x=1,y=3 c. x=0,y=3 d. x=0,y=0

If ( 1+i) (1+ 2i) (1+ 3i) …(1 +ni) = x+ iy, then 2,5,10 ….( 1+n^(2)) = x^(k) +y^(k) The value of k is :

Given that (1 + i) (1 + 2i) (1 + 3i)…(1 + ni)= x+ iy , show that 2.5.10…(1 + n^(2))= x^(2) + y^(2)

If x=1/2(5-3i) , then find the value of x^4-x^3-12x^2+23x+12

Find real number x and y if (x-iy)(4 + 7i) is the conjugate of 29-2i.

If 1/ (m+i n) - (x-iy)/(x+iy) =0, where x,y,m,n are real and x+iy!=0 and m+i n!=0 , prove that m^2+n^2=1 .

If ((1+i)/(1-i))^(2) - ((1-i)/(1+i))^(2) = x + iy then find (x,y).