Column $c_1$ | Column $c_2$ |

(a) The coordinates of the points P and Q on the line x+5y=13 which are at a distance of 2 units from the line 12x-5y+26=0 are | (i) (3, 1) (-7, 11) |

(b) The coordinates of the point on the line x + y = 4, which are at a unit distance from the line 4x + 3y – 10 = 0 are | (ii) $ \bigg( - \large\frac{1}{3}, \large\frac{11}{3} \bigg), \bigg( \large\frac{4}{3}, \large\frac{7}{3} \bigg)$ |

(c) The coordinates of the point on the line joining A (–2, 5) and B (3, 1) such that AP = PQ = QB are | (iii) $ \bigg( 1, \large\frac{12}{5} \bigg) \bigg( -3, \large\frac{16}{5} \bigg)$ |