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

For 0ltx ,yltpi, the number of ordered pairs (x, y) satisfying system equations cot^2(x-y)-(1+sqrt(3))cot(x-y)+sqrt(3)="0 and cosy="(sqrt(3))/2 is

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

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

The coordinates of the ends of a focal chord of the parabola y^2=4a x are (x_1, y_1) and (x_2, y_2) . Then find the value of x_1x_2+y_1y_2 .

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

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 the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find the value of adot

A mapping f is defined : f:(x,y)rarr (x+y,x-y) then f(-1,-2) is equal to

The number of ordered pairs (x,y) satisfying |x|+|y|=2 and sin""((pix^(2))/(3))=1 is/are

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