Question 13 (1)Write the equations for the xand yaxes. (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 xaxis at an angle of 75.
 
5. Intersecting the xaxis at a distance of 3 units to the left of origin with slope –2.  
6. Intersecting the yaxis at a distance of 2 units above the origin and making an
angle of 30 with positive direction of the xaxis.
 
7. Find equation of line passing Passing through the points (–1, 1) and (2, – 4).
 
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 xaxis is 30.
 
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.
 
10. Find the equation of the line passing through (–3, 5) and perpendicular to the line
through the points (2, 5) and (–3, 6).
 
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.
 
12. Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
 

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 xaxis. Also, find the equation of line parallel to it and crossing the yaxis at a distance of 2 units below the origin.
 
15. The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.
 
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 midpoint 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.
 
20. By using the concept of equation of a line, prove that the three points (3, 0),(– 2, – 2) and (8, 2) are collinear.  