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Prove that the lines 2x+3y=19 and 2x+3y+...

Prove that the lines `2x+3y=19 and 2x+3y+7=0` are equidistant from the line `2x+3y=6`.

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Determine the distance between the following pair of parallel lines:\ ...

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  2. If two sides of a square are along 5x-12y + 26 = 0 and 5x-12y-65 = 0 t...

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  3. Prove that the lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the l...

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  4. Find the equation of the line midway between the parallel lines 9x+6y-...

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  5. Show that the area of the parallelogram formed by the lines 2x-3y+a=0,...

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  6. Prove that the area of the parallelogram contained by the lines 4y-3x-...

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  7. The equation of two straight lines through (7,9) and making an angle o...

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  8. Find the equation of the lines through the point (3, 2) which make an...

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  9. Show that the equation of the straight line through the origin angle v...

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  10. One diagonal of a square is along the line 8x-15 y=0 and one of its ve...

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  11. Find the equation of the straight lines passing through the origins an...

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  12. Find the equations of the straight lines passing through (2,-10) and ...

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  13. Find the equations of the lines which pass through the origin and are ...

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  14. Find the equations t the straight lines passing through the point (2,3...

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  15. The equation of one side of an equilateral triangle is x-y=0\ and one...

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  16. Find the equations of two straight lines passing though (1,2) and ma...

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  17. Show that the point (3,-5) lies between the parallel lines 2x+3y-7=0\ ...

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  18. If two opposite vertices of a square are (1,2) and (5,8) find the c...

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  19. Obtain the equations of the line passing through the intersection of ...

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  20. Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...

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