The lines `xy=0and x+y=17` from a triangle in the x-y plane. The total numbe of points having co-ordinates which are prime numbers and lie inside the traingle is

A lattice point in a plane is a point for which both coordinates are integers. The number of lattice points lies inside the triangle whose sides are,x=0,y=0 and x+y=20 is

Find the number of points , having both co- ordinates as integers , that lie in the interior of the triangle with vertices (0,0) , (0,41),(41,0)

The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two of its sides along the co-ordinate axes. The locus of the circumcenter of the triangle is x + y - xy + k(x^2+y^2)^(1/2)=0 . Find k.

The number of integral values of 'a for which the point (a,a^(2)) lies completely inside the triangle x=0,y=0,2y+x=3 is

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0) , (0, 41) and (41, 0) is

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0) , (0, 41) and (41, 0) is

The number of points, having both co-ordinates as integers, that lie in the interior of triangle with vertices (0,0) , (0,41), and (41,0) is :

Does the line x=y=0 lie in the plane z=0.