1. Reduce the following equations into slope - intercept form and find their slopes
and the y - intercepts.
(i) x + 7y = 0, (ii) 6x + 3y – 5 = 0, (iii) y = 0.
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2. Reduce the following equations into intercept form and find their intercepts on the axes.
(i) 3x + 2y – 12 = 0, (ii) 4x – 3y = 6, (iii) 3y + 2 = 0. | |

3. Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis.
(i) x –3y + 8 = 0, (ii) y – 2 = 0, (iii) x – y = 4.
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4. Find the distance of the point (–1, 1) from the line 12(x + 6) = 5(y – 2). | |

5. Find the points on the x-axis, whose distances from the line x/3 + y/4 =1
are 4 units. | |

6. Find the distance between parallel lines(i) 15x + 8y – 34 = 0 and 15x + 8y + 31 = 0 (ii) l (x + y) + p = 0 and l (x + y) – r = 0.
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7. Find equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (–2, 3). | |

8. Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3. | |

9. Find angles between the lines
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10. The line through the points (h, 3) and (4, 1) intersects the line 7x -9y -19 = 0
at right angle. Find the value of h.
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11. Prove that the line through the point (x 1 , y1 ) and parallel to the line Ax + By + C = 0 is A (x –x 1 ) + B (y – y1 ) = 0. | |

12. Two lines passing through the point (2, 3) intersects each other at an angle of 60 If slope of one line is 2, find equation of the other line.
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13. Find the equation of the right bisector of the line segment joining the points (3, 4) and (–1, 2). | |

14. Find the coordinates of the foot of perpendicular from the point (–1, 3) to the line 3x – 4y – 16 = 0. | |

15. The perpendicular from the origin to the line y = mx + c meets it at the point (–1, 2). Find the values of m and c. | |

16. If p and q are the lengths of perpendiculars from the origin to the
lines... | |

17. In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation
and length of altitude from the vertex A.
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18. If p is the length of perpendicular from the origin to the line whose intercepts on ... | |