Which one of the points `(1, 1), (-1, 2) and (2, 3)` lies on the side of the line `4x+3y-5=0` on which the origin lies?

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 if (a,a) and (-a,-a) lies in same side of the line x+y+2=0.

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

A circle passes through the points ( 2,3) and ( 4,5) . If its centre lies on the line, y-4x+ 3 =0 , then its radius is equal to :

If each of the points (x_1,4),(-2,y_1) lies on the line joining the points (2,-1)a n d(5,-3) , then the point P(x_1,y_1) lies on the line. (a) 6(x+y)-25=0 (b) 2x+6y+1=0 (c) 2x+3y-6=0 (d) 6(x+y)+25=0

If each of the points (x_1,4),(-2,y_1) lies on the line joining the points (2,-1)a n d(5,-3) , then the point P(x_1,y_1) lies on the line. (a) 6(x+y)-25=0 (b) 2x+6y+1=0 (c) 2x+3y-6=0 (d) 6(x+y)+25=0

Find the equation of the circle which passes through the points (5,0) and (1,4) and whose centre lies on the line x + y - 3 = 0.

The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=0 . The third side, which is variable, always passes through the point (-5,-1) . Find the range of values of the slope of the third line such that the origin is an interior point of the triangle.

The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=0 . The third side, which is variable, always passes through the point (-5,-1) . Find the range of values of the slope of the third line such that the origin is an interior point of the triangle.

The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=0 . The third side, which is variable, always passes through the point (-5,-1) . Find the range of values of the slope of the third line such that the origin is an interior point of the triangle.