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

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

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

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 sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+1=(32+8sqrt(15))^(x^2-3) is a 3 b. 0 c. 2 d. none of these

Find the number of pairs of integer (x , y) that satisfy the following two equations: {cos(x y)=x and tan(x y)=y (a) 1 (b) 2 (c) 4 (d) 6

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

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

Find the number of positive integreal solutions of ( pairs of positive integers satisfying ) x^2 - y^2 = 353702 .

Complex numbers whose real and imaginary parts x and y are integers and satisfy the equation 3x^(2)-|xy|-2y^(2)+7=0

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 _________.