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Show that the line a^2x+a y+1=0 is perpe...

Show that the line `a^2x+a y+1=0` is perpendicular to the line `x-a y=1` for all non zero real values of `adot`

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the angle between the lines x=a\ a n d\ b y+c=0.

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  2. Find the tangent of the angle between the lines whose intercepts on th...

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  3. Show that the line a^2x+a y+1=0 is perpendicular to the line x-a y=1 f...

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  4. Show that the tangent of an angle between the lines x/a+y/b=1 and x/a-...

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  5. Find the values of the parameter a so that the point (a, 2) is an inte...

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  6. determine whether the point (-3, 2) lies inside or outside the triangl...

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  7. Find the distance between the line 12 x-5y+9=0 and the point (2,1).

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  8. If p\ and\ q be the perpendicular form the origin upon the straight li...

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  9. What are the points on x-axis whose perpendicular distance from the ...

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  10. Find the points on x=0 line whose perpendicular distance from the line...

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  11. The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...

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  12. Find the distance of the point (4,5) from the straight line 3x-5y+7=0

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  13. Find the perpendicular distance of the line joining the points (costhe...

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  14. Find the length of the perpendicular from the origin to the straight ...

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  15. Show that the perpendiculars let fall from any point on the straight ...

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  16. Find the length of the perpendicular draw from the point (4,7) upon th...

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  17. What are the points on the x-axis whose perpendicular distance from th...

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  18. Show that the product of perpendiculars on the line x/a costheta+y/b s...

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  19. Find the perpendicular distance from the origin of the perpendicular ...

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  20. Find the distance of the point (1,2) from the straight line with slope...

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