Two sides of a triangle are `y = m_1x` and `y = m_2x` 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)`

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

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.

If m_1,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 line y=m_1,x,y=m_2x and y=a(ane -1) is

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_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