Find the number of point `(x ,y)` having integral coordinates satisfying the condition `x^2+y^2<25`

Find the number of positive integral solutions satisfying the equation (x_1+x_2+x_3)(y_1+y_2)=77.

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 number of points P(x , y) lying inside or on the circle x^2+y^2=9 and satisfying the equation tan^4x+cot^4x+2=4sin^2y is______

Find the equation of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at ( a sec, theta b tan theta) . Hence show that if the tangent intercepts unit length on each of the coordinate axis than the point (a,b) satisfies the equation x^(2)-y^(2)=1

The number of integral coordinates of the points (x, y) which are lying inside the circle x^(2) + y^(2) = 25 is n, then the integer value of (n)/(9) will be -

Find the distance of the point (- 6 , 2 , - 3) from the origin. State the coordinates of the points with same numerical values of x , y and z-coordinates.

The number of points inside or on the circle x^2+y^2=4 satisfying tan^4x+cot^4x+1=3sin^2y is

Let (x,y,z) be points with Integer coordinates satisfying the system of homogeneous equations 3x-y-z=0,-3x+2y+z=0,-3x+z=0.Then the number of such points for which x^2+y^2+z^2le100 is

Find the coordinates of points equidistant from the axes and lying on the circle x^(2) + y^(2) - 6x - 2y + 6 = 0 .

Find tha area of the region containing the points (x, y) satisfying 4 le x^(2) + y^(2) le 2 (|x|+ |y|) .