Describe the locus of the point `(x, y)` satisfying `(x-1)^2 + (y-1)^2 = 2^2`.

Describe the locus of the point (x, y) satisfying the equation (x-2)^2 + (y-3)^2 =25

Describe the locus of the point (x, y) satisfying the condition x^2 + y^2 =a^2 .

Describe the locus of the point (x, y) satisfying the equation x-y=0

If the locus of the moving point P(x,y) satisfying sqrt((x-1)^(2)+y^(2))+sqrt((x+1)^(2)+(y-sqrt(12))^(2))=a is an ellipse, then find the values of a.

The number of points (x,y) satisfying y=2 sinx and y=x^2+2 is

Describe the graph of the set of points (x,y,z) where x^(2) +z^(2) =1.

Given that x in [0,1] and y in [0,1] . Let A be the event of selecting a point (x,y) satisfying y^(2) ge x and B be the event selecting a point (x,y) satisfying x^(2) ge y , then

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is

There are two perpendicular lines, one touches to the circle x^(2) + y^(2) = r_(1)^(2) and other touches to the circle x^(2) + y^(2) = r_(2)^(2) if the locus of the point of intersection of these tangents is x^(2) + y^(2) = 9 , then the value of r_(1)^(2) + r_(2)^(2) is.

Find the number of ordered pairs of natural numbers (x, y) satisfying the equation: (xy-1)^(2) = (x+1)^(2) + (y+1)^(2)