Question 1-3 (1)Write the equations for the x-and y-axes. (2) Passing through the point (– 4, 3) with slope 1/2
(3) Passing through (0, 0) with slope m. | |

4. Passing through (2 root(3),2) and inclined with the x-axis at an angle of 75.
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5. Intersecting the x-axis at a distance of 3 units to the left of origin with slope –2. | |

6. Intersecting the y-axis at a distance of 2 units above the origin and making an
angle of 30 with positive direction of the x-axis.
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7. Find equation of line passing Passing through the points (–1, 1) and (2, – 4).
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8. Find the equation of line whose Perpendicular distance from the origin is 5 units and the angle made by the
perpendicular with the positive x-axis is 30.
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9. The vertices of ∆ PQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.
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10. Find the equation of the line passing through (–3, 5) and perpendicular to the line
through the points (2, 5) and (–3, 6).
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11. A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides
it in the ratio 1: n. Find the equation of the line.
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12. Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
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13. Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9. | |

14. Find equation of the line through the point (0, 2) making an angle 2π/3
with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.
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15. The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.
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16. The length L (in centimetrs) of a copper rod is a linear function of its Celsius
temperature C. In an experiment, if L = 124.942 when C = 20 and L= 125.134
when C = 110, express L in terms of C. | |

17. The owner of a milk store finds that, he can sell 980 litres of milk each week at
Rs 14/litre and 1220 litres of milk each week at Rs 16/litre. Assuming a linear
relationship between selling price and demand, how many litres could he sell
weekly at Rs 17/litre? | |

18. P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is x/a + y/b = 2 | |

19. Point R (h, k) divides a line segment between the axes in the ratio 1: 2. Find equation of the line.
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20. By using the concept of equation of a line, prove that the three points (3, 0),(– 2, – 2) and (8, 2) are collinear. | |