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Question 3:
Find the distance between and when: (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.
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Question 14:
Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010?
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Question 8:
Find the equation of the line which is at a perpendicular distance of 5 units from the origin and the angle made by the perpendicular with the positive x-axis is 30°
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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 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 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 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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Question 8:
Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3
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Question 16:
If p and q are the lengths of perpendiculars from the origin to the lines x cos θ – y sin θ = k cos 2θ and x sec θ+ y cosec θ = k, respectively, prove that p2 + 4q2 = k2
Page No 233:
Question 1:
Find the values of k for which the lineis
(a) Parallel to the x-axis,
(b) Parallel to the y-axis,
(c) Passing through the origin
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Question 2:
Find the values of θand p, if the equation is the normal form of the line
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Question 5:
Find the perpendicular distance from the origin to the line joining the points
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Question 8:
Find the area of the triangle formed by the lines y – x = 0, x + y = 0 and x – k = 0
Page No 233: Question 12: Find the equation of the line passing through the point of intersection of the lines 4x + 7y – 3 = 0 and 2x – 3y + 1 = 0 that has equal intercepts on the axes
Page No 234: Question 14: In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line x + y = 4?
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Question 23:
Prove that the product of the lengths of the perpendiculars drawn from the points