P(x,y) is called a natural point if x,` y in N` . The total number of points lying inside the quadrilateral formed by the lines `2x+y = 2 , x = 0 , y = 0 and x+y=5` is

Find the area of the quadrilateral formed by the lines y=2x+3 , y=0, x=4, x=6 .

If point P(x,y) is called a lattice point if x, y in I. Then the total number of lattice points in the interior of the circle x^2 + y^2 =a^2, a != 0 can not be:

The equation of the diagonal through origin of the quadrilateral formed by the lines x = 0, y = 0, x + y - 1 = 0 and 6x + y - 3= 0, is

Find the area of the triangle formed by the lines y+x-6=0, 3y-x+2=0 and 3y=5x+2 .

Find the area of the quadrilateral formed by the lines y=2x+3, y=0, x=2 and x=4 using integration.

The orthocentre of the triangle formed by the lines x - 7y + 6 = 0, 2x - 5y - 6 = 0 and 7x + y - 8 = 0 is

Find the equation of the circle circumscribing the quadrilateral formed by the straight lines x-y=0, 3x+2y=5, x-y=10 and 2x+3y=0

The equation of the medians of a triangle formed by the lines x+y-6=0, x-3y-2=0 and 5x-3y+2=0 is

The equation of the circumcircle of the triangle formed by the lines x=0, y=0, 2x+3y=5, is

P(m , n) (where m , n are natural numbers) is any point in the interior of the quadrilateral formed by the pair of lines x y=0 and the lines 2x+y-2=0 and 4x+5y=20 . The possible number of positions of the point P is. 7 (b) 5 (c) 4 (d) 6