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Prove that the lines sqrt(3)x+y=0,\ sqrt...

Prove that the lines `sqrt(3)x+y=0,\ sqrt(3)y+x=0,\ sqrt(3)x+y=1\ a n d\ sqrt(3)y+x=1` form a rhombus.

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the equation of the line passing through the point of intersectio...

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  2. Show that the area of the triangle formed buy the lines y=m1x , y=m2x\...

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  3. Prove that the lines sqrt(3)x+y=0,\ sqrt(3)y+x=0,\ sqrt(3)x+y=1\ a n d...

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  4. Find the equation of the line passing through the intersection of the ...

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  5. Prove that the lies 3x+y-14=0,\ x-2y=0\ n a d\ 3x-8y+4=0 are concurren...

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  6. If the lines a1x+b1y+1=0,\ a2x+b2y+1=0\ a n d\ a3x+b3y+1=0 are concurr...

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  7. Show that the following lines are concurrent: L1=(a-b)x+(b-c)y+(c-a)=0...

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  8. Prove that the following sets of three lines are concurrent: 15 x-18 y...

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  9. Prove that the following sets of three lines are concurrent: x/a+y/b=1...

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  10. For what value of lambda are the three lines 2x-5y+3=0,\ 5x-9y+lambda=...

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  11. Find the conditions that the straight lines y=m1x+c1, y=m2x+c2a n d\ y...

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  12. Show that the straight lines L1=(b+c)x+a y+1=0,\ L2=(c+a)x+b y+1=0\ n ...

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  13. If the three lines a x+a^2y+1=0,\ b x+b^2y+1=0\ a n d\ c x+c^2y+1=0 ar...

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  14. If a ,\ b ,\ c are in A.P. prove that the straight lines a x+2y+1=0,\ ...

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  15. Show that the perpendicular bisectors of the sides of a triangle are c...

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  16. Find the equation of the line which is parallel to 3x-2y+5=0 and passe...

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  17. Find the equation of the straight line that passes through the point (...

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  18. Find equation of the line perpendicular to the line x-7y+5 =0 and havi...

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  19. A person standing at the junction (crossing) of two straight paths rep...

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  20. The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-2...

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