Question 1:Write the equations for the x-and y-axes.
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Question 2:Passing through the point (– 4, 3) with slope 2 1 .
Question 3:Passing through (0, 0) with slope m.
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Question 4:Passing through (2, 2 3)and inclined with the x-axis at an angle of 75o.
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Question 5:Intersecting the x-axis at a distance of 3 units to the left of origin with slope –2.
Question 6:Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30o with positive direction of the x-axis.
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Question 7:Passing through the points (–1, 1) and (2, – 4).
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Question 8:Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 300.
Question 9:The vertices of D 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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Question 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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Question 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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Question 12:Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
Question 13:Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.
EXERCISE 10.2In Exercises 1 to 8, find the equatio
Question 14:Find equation of the line through the point (0, 2) making an angle 2 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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Question 15:The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.
Question 16:The length L (in centimetre) 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.
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Question 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?
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Question 18:P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is + = 2 b y a x .
Question 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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Question 20:By using the concept of equation of a line, prove that the three points (3, 0), (– 2, – 2) and (8, 2) are collinear.
