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Find equation of the line through the po...

Find equation of the line through the point(0, 2) making an angle `(2pi)/(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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The correct Answer is:
`sqrt3 x + y - 2 = 0 " and " sqrt3 x + y + 2 = 0 `
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NCERT TAMIL-STRAIGHT LINES-EXERCISE 10.2
  1. Write the equations for the x-and y-axes.

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  2. Passing through the point (-4, 3) with slope 1/2.

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  3. Passing through (0, 0) with slope m.

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  4. Passing through (2, 2 sqrt3) and inclined with the x-axis at an angle ...

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  5. Intersecting the x-axis at a distance of 3 units to the left of origin...

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  6. Intersecting the y-axis at a distance of 2 units above the origin and ...

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  7. Passing through the points (-1, 1) " and " (2, - 4).

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  8. Find the equation of line which is at Perpendicular distance from the ...

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  9. The vertices of Delta PQR " are " P (2, 1) , Q (-2, 3) " and " R (4, 5...

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  10. Find the equation of the line passing through (-3, 5) and perpendicula...

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  11. A line perpendicular to the line segment joining the points (1, 0) and...

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  12. Find the equation of a line that cuts off equal intercepts on the coor...

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  13. Find equation of the line passing through the point (2, 2) and cutting...

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  14. Find equation of the line through the point(0, 2) making an angle (2pi...

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  15. The perpendicular from the origin to a line meets it at the point (-2,...

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  16. The length L (in centimetrs) of a copper rod is a linear function of i...

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  17. The owner of a milk store finds that, he can sell 980 litres of milk e...

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  18. P (a, b) is the mid-point of a line segment between axes. Show that eq...

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

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  20. By using the concept of equation of a line, prove that the three point...

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