exercise 10.2 (ncert class 11th maths)

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Asked: August 22, 2020In: NCERT 11th Maths

20. By using the concept of equation of a line, prove that the three points (3, 0), (– 2, – 2) and (8, 2) are collinear.

eduhilfe

Asked: August 22, 2020In: NCERT 11th Maths

19. Point R (h, k) divides a line segment between the axes in the ratio 1: 2. Find equation of the line.

eduhilfe

Asked: August 22, 2020In: NCERT 11th Maths

18. P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is $\frac{x}{a} + \frac{y}{b} = 2$

eduhilfe

Asked: August 22, 2020In: NCERT 11th Maths

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?

eduhilfe

Asked: August 22, 2020In: NCERT 11th Maths

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.

eduhilfe

Asked: August 22, 2020In: NCERT 11th Maths

15. The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.

eduhilfe

Asked: August 22, 2020In: NCERT 11th Maths

14. Find equation of the line through the point (0, 2) making an angle $\frac{2\pi}{3}$ 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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Asked: August 22, 2020In: NCERT 11th Maths

13. Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.

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Asked: August 22, 2020In: NCERT 11th Maths

12. Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

eduhilfe

Asked: August 22, 2020In: NCERT 11th Maths

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.

1 2

20. By using the concept of equation of a line, prove that the three points (3, 0), (– 2, – 2) and (8, 2) are collinear.

19. Point R (h, k) divides a line segment between the axes in the ratio 1: 2. Find equation of the line.

18. P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is $\frac{x}{a} + \frac{y}{b} = 2$

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?

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.

15. The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.

14. Find equation of the line through the point (0, 2) making an angle $\frac{2\pi}{3}$ 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.

13. Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.

12. Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

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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