Find the orthocentre of the triangle the equations of whose sides are `x+y=1,2x+3y=6a n d4x-y+4=0.`

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

Find the centroid and in-centre of the triangle, equations of whose sides are 3x-4y=0, 12 y + 5 x = 0 and y-15=0

Find the coordinates o the vertices of a triangle, the equations of whose sides are: x+y-4=0,\ 2x-y+3=0\ a n d\ x-3y+2=0

Find the equations of the medians of a triangle, the equations of whose sides are: 3x+2y+6=0,\ 2x-5y+4=0\ a n d\ x-3y-6=0

Find the centre of the inscribed circle of the triangle the equations, of whose sides are y-15=0, 12y+5x=0 and 4y-3x=0 .

Find the equations of the medians of a triangle, the equations of whose sides are : 3x+2y+6=0, 2x−5y+4=0 and x−3y−6=0.

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: (i) y=x ,\ \ y=2x and y+x=6 (ii) y=x ,\ \ 3y=x and x+y=8

Find the vertices and the area of the triangle whose sides are x=y, y=2x and y=3x+4 .

Determine graphically the vertices of a trapezium, the equations of whose sides are x=0,y=0,y=4 a n d2x+y=6 . Also, determine its area.

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