A triangle is formed by the straight lines `ax + by +c = 0, lx + my + n = 0 and px+qy + r = 0`. Show that the straight line : `(px+qy+r)/(ap+bq) = (lx+my+n)/(al+mb)` passes through the orthocentre of the triangle.

Find the area of the triangle formed by the straight lines y=2x, x=0 and y=2 by integration.

The straight lines 3x+y-4=0,x+3y-4=0 and x+y=0 form a triangle which is :

The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle, which is

The equation of sides BC, CA, AB of a triangle ABC are ax+by+c=0, lx + my + n=0 and px+qy+r=0 respectively, then the line : (px+qy+r)/(ap+bq) = (lx+my+n)/(al+mb) is (A) perpendicular to AB (B) perpendicular to AC (C) perpendicular to BC (D) none of these

Show that the straight lines x^2+4xy+y^2=0 and the line x-y=4 form an equilateral triangle .

If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 passes through a fixed point . Find the coordinates of fixed point .

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The lines px +qy+r=0, qx + ry + p =0,rx + py+q=0, are concurrant then

The lines px +qy+r=0, qx + ry + p =0,rx + py+q=0, are concurrant then