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(i) Find the equation of a line, in whic...

`(i)` Find the equation of a line, in which the mid- point of the line segment between the axes is `(-3,2)`.
`(ii)` Find the area of triangle formed by the line `4x+3y=24` and the co-ordinate axes.

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The correct Answer is:
`(i) 2x-3y+12=0` `(ii) 24` square units
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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. Find equation of the line passing through the point (2, 2) and cutt...

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  2. (i) Find the intercepts made by line 5x-2y=10 on both axes. Also find ...

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  3. (i) Find the equation of a line, in which the mid- point of the line s...

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  4. Find the equation of a line whose segment between the axes is divided ...

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  5. Find the equation of a line which is at a perpendicular distance of sq...

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  6. Find the equation of a line which is at a distance of 2 units from ori...

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  7. Find the equation of a line which is at a distance of 4 units from ori...

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  8. Find the equation of a line which makes a triangle of area 96sqrt(3) s...

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  9. Convert the line 3x-4y+5=0 into perpendicular form and find the length...

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  10. Convert the following equations into slope-intercept form and find the...

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  11. Convert the following equations into intercept form and find the inter...

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  12. Convert the following equations into perpendicular form and find the l...

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  13. Find the angle formed by the line sqrt(3)x+y-5=0 from the positive dir...

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  14. Find the angle between the lines sqrt(3)x+y=2 and x+sqrt(3)y=3.

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  15. Find the equation of a line passes through the points (3,4) and parall...

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  16. Find the equation of a line passes through the point (-2,1) and perpen...

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  17. Prove that the lines 2x+5y=8 and 4x+10y-1=0 are parallel.

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  18. Prove that the lines x+3y+2=0 and 3x-y=0 are perpendicular.

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  19. Find the angle between the following pairs of lines : (i) y=sqrt(3)x+...

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  20. Find the slope of a line perpendicular to the line 3x+5y=8.

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