The combined equation of three sides of a triangle is `(x^2-y^2)(2x+3y-6)=0` if (-2,a) is an interior point and (b,1) is an exterior point of the triangle, then

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

The equation of three sides of a triangle are x + 2y - 5 = 0, x +y = 6 and y + 2x-4 = 0. Find the co-ordinate of its ortho centre

The equation to the base of an equilateral triangle is 4x-3y+10=0 and its vertex is at (-2,-1), find the length of a side of the triangle.

The equation of circumcircle of an equilateral triangle is x^2+y^2+2gx+2fy+c=0 and one vertex of the triangle is (1,1).The equation of incircle of the triangle is

The equations of the sided of a triangle are x+y-5=0,x-y+1=0, and y-1=0 . Then the coordinates of the circumcentre are

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.

If the equation of the base of an equilateral triangle is 2x - y=1 and the vertex is (-1,2), then the length of a side of the triangle is-

The equation to the base of an equilateral triangle is x+y=2and its vertex is at (2,-1) . Find the length of a side of the triangle.

The equation of the in-circle of an equilateral triangle is x^(2) + y^(2) + 2x - 4y - 8 = 0 , find the area of the equilateral triangle.