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If the lines a x+12 y+1=0,\ b x+13 y+1=0...

If the lines `a x+12 y+1=0,\ b x+13 y+1=0` and `c x+14 y+1=0` are concurrent, then `a , b , c` are in a. H.P. b. G.P. c. A.P. d. none of these

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. The point which divides the join of (1,2) and(3,4) externally in the ...

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  2. A line passes through the point (2,2) and is perpendicular to the lin...

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  3. If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurre...

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  4. The number of real values of lambda for which the lines x-2y+3=0,\ lam...

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  5. The equations of the sides A B ,\ B C\ a n d\ C A\ of\ "triangle"A B C...

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  6. If p1a n d\ p2 are the lengths of te perpendiculars from the origin ...

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  7. Area of the triangle formed by the points ((a+3)(a+4),\ a+3),\ ((a+2)(...

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  8. If a+b+c=0 , then the family of lines 3a x+b y+2c=0 pass through fixed...

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  9. The line segment joining the points (-3,-4), and (1,-2) is divided by ...

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  10. The area of a triangle with vertices at (-4,-1), (1,2) and (4,-3) is ...

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  11. The line segment joining the points (1,2) and (-2,1) is divided by the...

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  12. If the point (5,2) bisects the intercept of a line between the axes, ...

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  13. A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delt...

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  14. If p be the length of the perpendicular from the origin on the line x/...

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  15. The equation of the line passing through (1,5) and perpendicular to th...

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  16. The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a squa...

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  17. Two vertices of triangle are (2,-1) and (3,2) and third vertex lies on...

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  18. Find the gradient of a straight line which is passes through the point...

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  19. The angle between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is a.0^0 b....

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  20. Distance between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is (35)/(sq...

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