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If the lines x+2ay+a=0, x+3by+b=0 and x+...

If the lines `x+2ay+a=0, x+3by+b=0` and `x+4cy+c=0` are concurrent then `a,b,c` are in

A

Arithmetic progression

B

Geometric progression

C

Harmonic progression

D

Arithmetic-geometric progression

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Verified by Experts

The correct Answer is:
C
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SIA PUBLICATION-STRAIGHT LINE-EXERCISE (PROBLEMS)
  1. If the straight lines 2x+3y-1=0,x+2y-1=0,a n da x+b y-1=0 form a trian...

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  2. The point on the line 4x -y-2 = 0 which is equidistant from the points...

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  3. If the lines x+2ay+a=0, x+3by+b=0 and x+4cy+c=0 are concurrent then a,...

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  4. The equation of a straight line, perpendicular to 3x-4y=6 and forming ...

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  5. If the image of (-7//5, -6//5) in a line is (1, 2), then the equation ...

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  6. If a line I passes through (k, 2k), (3k , 3k) and (3,1), k ne 0, then ...

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  7. If p and q are the perpendicular distances from the origin to the stra...

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  8. If 2x+3y=5 is the perpendicular bisector of the line segment joining t...

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  9. Find the set of values of a if the points (1,2) and (3,4) lie to the s...

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  10. The perpendicular distance from the point (1,pi) to the line joining (...

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  11. The equation of a straight line passing through the point (1, 2) and i...

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  12. A point moves in the xy-plane such that the sum of its distances from ...

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  13. The number of points P(x, y) with natural numbers as coordinates that ...

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  14. The image of the point (3, 8) in the line x+3y=7 is

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  15. The line joining the points A(2,0) and B(3,1) is rotated through an an...

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  16. The polar equation of the line perpendicular to the line sin theta-cos...

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  17. If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...

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  18. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

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  19. The image of the line x+y-2=0 in the y-axis is

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  20. A straight line which makes equal positive intercepts on X and Y axes ...

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