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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:
Required equation of the line are `sqrt(3) x + y -2 =0 and sqrt(3) x +y+2=0`.
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KUMAR PRAKASHAN-STRAIGHT LINES-Exercise : 10.2
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  2. Obtain Equation of line which satisfy given condition : Passing thro...

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  3. Obtain Equation of line which satisfy given condition : Passing thro...

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  4. Obtain Equation of line which satisfy given condition : Passing thro...

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  5. Obtain Equation of line which satisfy given condition : Intersecting...

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  6. Obtain Equation of line which satisfy given condition : Intersecting...

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  7. Obtain Equation of line which satisfy given condition : Passing thro...

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  8. Obtain Equation of line which satisfy given condition : Perpendicula...

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

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

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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 centimetre) of a copper rod is a linear function of i...

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

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

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