# NCERT Class 11-Math՚s: Exemplar Chapter – 10 Straight Lines Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Match the Questions Given under Column C_{1} with Their Appropriate Answers Given under the Column C_{2} in Exercises 57 to 59

**Question 57**:

Column | Column | ||

(a) | The coordinates of the points P and Q on the line which are at a distance of units from the line are | (i) | |

(b) | The coordinates of the point on the line , which are at a unit distance from the line are | (ii) | |

(c) | The coordinates of the point on the line joining and such that are | (iii) |

**Answer**:

(a) ⟷ (iii)

(b) ⟷ (i)

(c) ⟷ (ii)

**Question 58**:

The value of the , if the lines

are

Column | Column | ||

(a) | Parallel to is | (i) | |

(b) | Perpendicular to is | (ii) | |

(c) | passes through is | (iii) | |

(d) | parallel to axis is | (iv) |

**Answer**:

(a) ⟷ (iv)

(b) ⟷ (iii)

(c) ⟷ (i)

(d) ⟷ (ii)

**Question 59**:

The equation of the line through the intersection of the lines and and

Column | Column | ||

(a) | Through the point is | (i) | |

(b) | Perpendicular to the line is | (ii) | |

(c) | Parallel to the line is | (iii) | |

(d) | Equally inclined to the axes is | (iv) |

**Answer**:

(a) ⟷ (iii)

(b) ⟷ (i)

(c) ⟷ (iv)

(d) ⟷ (ii)