Is the point `(2,-7)` lies on origin side of the line `2x+y+2 = 0` ?

Prove that the points (2, -3) & (-3, 7) lie on the opposite sides of the line 2x+5y-8=0 .

Prove that the points (2, -5) & (-2, 4) lie on the same side of the line 3x+y+5=0 .

If the points (lambda, -lambda) lies inside the circle x^2 + y^2 - 4x + 2y -8=0 , then find the range of lambda .

Are the points (2,1) and (-3,5) on the same or opposite side of the line 3x - 2y + 1 = 0 ?

Find the value of 'a' so that the point (3, a) lies on the line 2x - 3y = 5.

The distance of the point (2,3,-4) from the point of intersection of the line (x-1)/-3 = (y-2)/2 = (z-2)/1 and the plane 2x-3y-z-20 =0 is

If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a) lies on the line 4 x-y=5 , then the equation of the line P Q is

If the lines joining the origin to the points of intersection of the line 2x+y-1 =0 and the curve 3x^(2)+lambdaxy-4x+1=0 are at right angles then

If the points (1, 2) and (3, 4) were to be on the same side of the line 3x-5y+a=0 , then :

Find the equation of the circle which passes through the point (2,-2), and (3,4) and whose centre lies on the line x+y=2 .