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If a ,\ b ,\ c are in A.P. prove that th...

If `a ,\ b ,\ c` are in A.P. prove that the straight lines `a x+2y+1=0,\ b x+3y+1=0\ a n d\ c x+4y+1=0` are concurrent.

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. 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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  2. 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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  3. If a ,\ b ,\ c are in A.P. prove that the straight lines a x+2y+1=0,\ ...

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

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

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

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

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

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

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  10. Find the circumcentre of the triangle whose sides are 3 x-y+3 =0,3x +4...

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  11. Find the equation of a line passing through the point (2,3) and para...

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  12. find the equation of a line passing through (3,-2)and perpendicular...

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  13. Find the equation of the perpendicular bisector of the line joining th...

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  14. Find the equation of the altitudes of triangle ABC whose vertices ...

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  15. Find the equation of a line which is perpendicular to the line sqrt...

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  16. Find the equation of the straight line through the point (alpha,beta) ...

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  17. Find the equation of the straight line perpendicular to 2x-3y=5 and cu...

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  18. Find the equation of the straight line perpendicular to 5x-2y=8 and wh...

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  19. Find the equation of the straight line which has y-intercept equal to ...

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  20. Find the equation of the right bisector of the line segment joining th...

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