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

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) - 3x, y^(2) + 4y ) and (-2,5) are equal , then find x and y .

If the ordered pairs (x+ 1 ,5) and ( 4,x+2y) are equal then (x,y) is:

If the ordered pairs (x^(2)-3x, y^(2)+4y) and (-2, 5) are equal to then find x and y.

The number of ordered pair (x, y) satisfying the equation sin^(2) (x+y)+cos^(2) (x-y)=1 which lie on the circle x^(2)+y^(2)=pi^(2) is _________.

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

For the smallest positive values of xa n dy , 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