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

Find the number of ordered pairs of (x, y) satisfying the equation y = |sinx| and y = cos^(-1)(cosx) , where x in [-π, π]

For 0

If (x^(4)+2x i)-(3x^(2)+yi)=(3-5i)+(1+2yi) then the number of ordered pairs (x, y) is/are equal to {AA x,y in R and i^(2)=-1}

For x in[-2 pi,3 pi] and y in R, the number of ordered pairs (x,y) satisfying the equation sqrt(3)sin x-cos x-3y^(2)+6y-5=0, is equal to

Find the number of integral ordered pairs (x,y) satisfying the equation log(3x+2y)=logx+logy.

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

The number of ordered pairs (x, y) , when x, y in [ 0, 10] satisfying (sqrt(sin^(2)x- sinx + 1/2))*2^(sec^(2)y) le 1 is

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N . " " (i) Find the value of S(6). " " (ii) Show that, if n is prime, then S(n)=3, always.

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