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Find the equation of a line which makes a triangle of area `96sqrt(3)` square from co-ordinate axes and the perpendicular drawn from origin to this line makes an angle `60^(@)` from `X`-axis.

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The correct Answer is:
`x+ysqrt(3)=+-24`
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the equation of a line which is at a distance of 2 units from ori...

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

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

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

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

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

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

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

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  9. Find angles between the lines sqrt(3)x+y=1and x+sqrt(3)y=1.

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

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

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

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

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

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

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  16. If a line passes through the points (a,1) and (3,-5), meets the line 3...

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  17. Find the point of intersection of the following pair of lines : (i) ...

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  18. (i) Find the value of 'a' if the lines 3x-2y+8=0, 2x+y+3=0 and ax+3y+1...

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  19. Find the equation of line joining origin to the point of intersection ...

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  20. Find the equation of a line passing through origin and parallel to the...

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