The total number of ordered pairs `(x , y)` satisfying `|x|+|y|=2,sin((pix^2)/3)=1,` is equal to a)4 b)6 c)10 d)12

Total number of ordered pairs (x, y) satisfying Iyl=cosxandy=sin−1(sinx) where |x|≤3π is equal to

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 _________.

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

Number of ordered pairs (a, x) satisfying the equation sec^2(a+2)x+a^2-1=0;-pi < x< pi 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

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

The number of ordered pairs of integers (x ,y) satisfying the equation x^2+6x+y^2=4 is a. 2 b. 8 c. 6 d. none of these

The number of ordered pairs which satisfy the equation x^2+2xsin(x y)+1=0 are (where y in [0,2pi] ) 1 (b) 2 (c) 3 (d) 0

The number of ordered triplets (x,y,z) satisfy the equation (sin^(- 1)x)^2=(pi^2)/4+(sec^(- 1)y)^2+(tan^(- 1)z)^2