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

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 the lines y=m_(1)x and y=m_(2)x for two of its sides,where m_(1),m_(2) are the roots of the equation quad x2+ax-1=0, then find the orthocentre of triangle.

Two sides of a triangle are y=m_(1)x and y=m_(2)x,m_(1),m_(2) are the roots of the equation x^(2)+ax-1=0 . For all values of a the orthocentre of the triangle lies at

Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0 . If ortho centre of the triangle is (1,1) . Find the equation of third side of the triangle.

If m_1 and m_2 are the roots of the equation x^2-a x-a-1=0 , then the area of the triangle formed by the three straight lines y=m_1x ,y=m_2x , and y=a(a!=-1) is

If m_(1) and m_(2) are the roots of the equation x^(2)-ax-a-1=0 then the area of the triangle formed by the three straight lines y=m_(1)xy=m_(2)x and y=a is

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