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Prove that the bisectors of the angles f...

Prove that the bisectors of the angles formed by pairs of lines are perpendicular to each other :
x+2y+3 =0 and 2x+y-2=0.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the equations of the bisectors of the angles formed by the follow...

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  2. Find the equations of the bisectors of the angles formed by the follow...

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  3. Prove that the bisectors of the angles formed by pairs of lines are pe...

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  4. Prove that the bisectors of the angles formed by pairs of lines are pe...

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  5. Prove that the bisectors of the angles formed by pairs of lines are pe...

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  6. Find the equations of the bisectors of the angles formed by the follow...

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  7. Find the equations of the bisectors of the angles formed by the follow...

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  8. Find the equations of the bisectors of the internal angles of the tria...

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  9. Find the equations of the bisectors of the internal angles of the tria...

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  10. Find the equations of the straight lines passing through the foot of t...

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  11. Find the new coordinates of the points in each of the following cases ...

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  12. Find the new co-ordinates of the following points when the origin is s...

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  13. Find the new co-ordinates of the following points when the origin is s...

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  14. Find the new co-ordinates of the point (3, -4) when the origin is shif...

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  15. Find the transformed equation of the st. line 2x-3y + 5 = 0 when the o...

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  16. Prove that the equations of the st. lines x+y-1=0 and x-y-1= 0 can be ...

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  17. Find what the following equations become when the origin is shifted to...

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  18. Find the transformed equations of the following when the origin is shi...

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  19. Find what the following equations become when the origin is shifted to...

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  20. Find the transformed equations of the following when the origin is shi...

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