Find the ordered pair `(x ,y)` for which `x^2-y^2-i(2x+y)=2idot`

Find the number of redered pairs (x,y) satisfying x^2+1=y and y^2+1=x

Find the number ordered pairs (x ,y)ifx ,y in {0,1,2,3, , 10}a n dif|x-y|> 5.

The number of ordered pairs (x,y) , where x , y in N for which 4 , x , y are in H.P. , is equal to

If the ordered pairs (x-2,2y+1) and (y-1,x-2) be equal then find x,y

For the smallest positive values of x \and\ y , the equation 2(sinx+sin y)-2cos(x-y)=3 has a solution, then which of the following is/are true? (a) sin(x+y)/2=1 (b) cos((x-y)/2)=1/2 (c)number of ordered pairs (x , y) is 2 (d)number of ordered pairs (x , y)i s3

If x, y in [0,2pi] then find the total number of order pair (x,y) satisfying the equation sinx .cos y = 1

Find the compound ratio of the ratios (x + y) : (x - y), (x^(2) + y^(2)) : (x + y)^(2) " and " (x^(2)-y^(2))^(2) : (x^(4) - y^(4)) .

Find the radical center of the circles x^2+y^2+4x+6y=19 ,x^2+y^2=9,x^2+y^2-2x-4y=5,

Find the values of x and y if x^(2)+y^(2)-2x+4y=-5 .