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Prove that the lines 2x-3y+1=0,\ x+y=3,\...

Prove that the lines `2x-3y+1=0,\ x+y=3,\ 2x-3y=2\ a n d\ x+y=4` form a parallelogram.

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. If the image of the point (2, 1) with respect to a line mirror be (5, ...

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  2. Find the equation to the straight line parallel to 3x-4y+6=0\ and pas...

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  3. Prove that the lines 2x-3y+1=0,\ x+y=3,\ 2x-3y=2\ a n d\ x+y=4 form a ...

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  4. Find the equation of a line drawn perpendicular to the line x/4+y/6 = ...

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  5. The perpendicular from the origin to the line y=m x+c meets it at the ...

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  6. Find the equation of the right bisector of the line segment joining th...

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  7. The line through (h ,3)a n d\ (4,1) intersects the line k7x-9y-19=0 at...

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  8. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

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  9. Find the coordinates of the foot o the perpendicular from the point ...

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  10. Find the projection of the point (1,0) on the line joining the points ...

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  11. Find the equation of a line perpendicular to the line 3x+y+5=0 and at ...

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  12. The line 2x+3y=12 meets the x-axis at A and y-axis at B. The line thro...

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  13. Find the equation of the straight line which cuts off intercept on ...

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  14. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

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  15. Find the angles between the pairs of straight lines: x+sqrt(3)y-5=0\ a...

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  16. Find the angles between the pairs of straight lines: y=(2-sqrt(3))x+5\...

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  17. Find the obtuse angle between the lines x-2y+3=0\ a n d\ 3x+y-1=0.

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  18. A line passing through the points (a ,\ 2a) and (-2,\ 3) is perpendicu...

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  19. The hypotenuse of a right angled triangle has its ends at the point...

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  20. Find the angles between each of the following pairs of straight line: ...

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