The line through the points (h, 3) and (4, 1) intersects the line 7x−9y−19=0at right angle. Find the value of h.
Show that the area of the triangle formed by the lines y=m1x+c1,y=m2x+c2and x=0is 2∣m1−m2∣(c1−c2)2
If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that p21=a21+b21.
The distance of a point (x1,y1) from two straight lines which pass through the origin of coordinates is p˙ Find the combined equation of these straight lines.
The straight lines represented by (y−mx)2=a2(1+m2) and (y−nx)2=a2(1+n2) from a (a) rectangle (b) rhombus (c) trapezium (d) none of these