Given equations are:
4x + 3y + 10 = 0 …(i)
5x – 12y + 26 = 0 …(ii)
and 7x + 24y – 50 = 0 …(iii)
Let (p, q) be the point which is equidistant from the given lines.
Now, we find the distance of (p, q) from the given lines.
We know that,
the distance d of a point P(x0, y0) from the line Ax + By + C = 0 is given by
Distance of (p, q) from eq. (ii) is
Distance of (p, q) from eq. (iii) is
Given that (p, q) is equidistant from the given lines
Hence, the correct option is (c)
