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If the lines x+a y+a=0,\ b x+y+b=0\ a n ...

If the lines `x+a y+a=0,\ b x+y+b=0\ a n d\ c x+c y+1=0` are concurrent, then write the value of `2a b c-a b-b c-c adot`

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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 distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

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  2. Write the coordinates of the orthocentre of the triangle formed by the...

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  3. If the lines x+a y+a=0,\ b x+y+b=0\ a n d\ c x+c y+1=0 are concurrent,...

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  4. Write the area of the triangle formed by the coordinate axes and the ...

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  5. Write the coordinates of the image of the point (3,8) in the lines x+3...

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  6. Write the integral values of m for which the x-coordinates of the poin...

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  7. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

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  8. If a , b , c are in G.P. write the area of the triangle formed by the ...

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  9. Write the locus of a point the sum of whose distances from the coor...

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  10. If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...

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  11. Find the locus of the mid points of the portion of the lines xsintheta...

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  12. L is a variable line such that the algebraic sum of the distances of ...

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  13. The acute angle between the medians drawn from the acute angles of a r...

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  14. The distance between the orthocentre and circumcentre of the triangle ...

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  15. The equation of the straight line which passes through the point (-4,3...

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  16. The point which divides the join of (1,2) and(3,4) externally in the ...

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

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

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

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