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 equation x-y=0

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 (x-1)^2 + (y-1)^2 = 2^2 .

The number of positive integral pairs (x, y) satisfying the equation x^(2) - y^(2) = 3370 is :

The number of ordered pairs of integers (x,y) satisfying the equation x ^2+6x+y^2 =4 is

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 _________.

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

The equation of the curve passing through the point (1,1) and satisfying the differential equation (dy)/(dx) = (x+2y-3)/(y-2x+1) is

Find x ,\ y satisfying the matrix equations: x[2 1]+y[3 5]+[-8-11]=0