The equations of two sides of a triangle are 3y-x-2=0 and y+x-2=0. The third side, which is variable, always passes through the point (5,-1). Find the range of the values of the slope of the third side, so that the origin is an interior point of the triangle.

The equations of two sides of a triangle are 3y-x-2=0a n dy+x-2=0. The third side, which is variable, always passes through the point (5,-1) . Find the range of the values of the slope of the third side, so 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 equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y=3 , and its third side passes through the point (1,-10) . Find the equation of the third side.

The equation to the sides of a triangle are x-3y = 0, 4x + 3y = 5 and 3x +y=0. The line 3x – 4y = 0 passes through

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6)

The mid points of the sides of a triangle are (5, 0), (5, 12) and (0, 12). The orthocentre of this triangle is

Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of the triangle is the origin, find the coordinates of the third point.