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 sides y=m_(1)x and y=m_(2)x 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 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.

In a DeltaABC, tanA and tanB are the roots of the equation ab(x^(2)+1)=c^(2)x , where a, b and c are the sides of the triangle. Then

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 and 4x+5y-20 and the orthocentre is (1,1). Find the equation of the third side.

Two sides of a triangle are y=m_(1)x and y=m_(2)x and 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 (A)(1,1) (B) (2,2) (C) ((3)/(2),(3)/(2)) (D) (0,0)

If two sides of a triangle lie along 3x^(2)-5xy+2y^(2)=0 and its orthocenter is (2,1) then the equation to the third side is

If m_(1) and m_(2) are the roots of an equation x^(2)+(sqrt3+2)x+(sqrt3-1)=0 , then the area of the triangle formed by the lines y=m_(1)x,y=m_(2)x,y=c is

A vertex of an equileteral triangle is (2;3) and the equation of the opposite sides is x+y=2. Find the equation of the other sides of triangle.