A triangle has two sides `y=m_1x` and `y=m_2x` where `m_1` and `m_2` are the roots of the equation `b alpha^2+2h alpha +a=0`. If `(a,b)` be the orthocenter of the triangle, then find the equation of the third side in terms of `a`, `b` and `h`.

A triangle has two of its sides along the lines y=m_1x&y=m_2x where m_1, m_2 are the roots of the equation 3x^2+10 x+1=0 and H(6,2) be the orthocentre of the triangle. If the equation of the third side of the triangle is a x+b y+1=0 , then a=3 (b) b=1 (c) a=4 (d) b=-2

A triangle has two of its sides along the lines y=m_1x&y=m_2x where m_1, m_2 are the roots of the equation 3x^2+10 x+1=0 and H(6,2) be the orthocentre of the triangle. If the equation of the third side of the triangle is a x+b y+1=0 , then a=3 (b) b=1 (c) a=4 (d) b=-2

Find the orthocentre of the triangle the equations of whose sides are x+y=1,2x+3y=6 and 4x-y+4=0.

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.

In a triangle ABC the sides b and c are the roots of the equation x^2-61x+820=0 and A=tan^-1(4/3) then a^2+3 is equal to

If m_1 and m_2 are roots of equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0 the the area of the triangle formed by lines y=m_1x, y = m_2x, y=c is:

If the ends of the base of an isosceles triangle are at (2, 0) and (0, 1), and the equation of one side is x = 2 , then the orthocenter of the triangle is

If m_(1),m_(2) be the roots of the equation x^(2)+(sqrt(3)+2)x+sqrt(3)-1 =0 , then the area of the triangle formed by the lines y = m_(1)x,y = m_(2)x and y = 2 is

A triangle has two of its sides along the axes, its third side touches the circle x^2 + y^2 -2ax-2ay+a^2=0 . Find the equation of the locus of the circumcentre of the triangle.

In a triangle A B C , side A B has equation 2x+3y=29 and side A C has equation x+2y=16. If the midpoint of B C is (5, 6), then find the equation of B C