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The condition that the three different l...

The condition that the three different lines `ax+by+c=0, bx+cy+a=0, cx+ay+b=0` to be concurrent is

A

`a=b=c `

B

`a+b +c=0`

C

`a+b+c=0, a=b=c`

D

`a+b+c=0 or a=b=c`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33...

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  2. The condition that the lines ax+hy+g=0, hx+by+f=0, gx+fy+c=0 to be con...

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  3. The condition that the three different lines ax+by+c=0, bx+cy+a=0, cx+...

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  4. If a ne b ne c and if ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent ...

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  5. The condition that the lines y=m(1)x+c(1), y=m(2)x+c(2), y=m(3)x+c(3) ...

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  6. If t(1) ne t(2) ne t(3) and the lines t(1)x+y=2at(1)+at(1)^(3),t(2)x+y...

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

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  8. If the straight lines ax+by+c=0 and x cos alpha+y sin alpha=c, enclose...

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  9. If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0 ...

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

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  11. If the lines 2x-ay+1=0, 3x-by+1=0, 4x-cy+1=0 are concurrent, then a, ...

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  12. If the lines x+ay=a=0, bx+y+b=0, cx+cy+1=0 (a,b,c being distinct and !...

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  13. The straight lines x+2y-9=0, 3x+5y-5=0, ax+by+1=0 are concurrent if th...

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  14. The equation of the line passing through the point of intersection of ...

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  15. The equation of the line passing through the point of intersection of ...

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  16. The equation of the line passing through the point of intersection of ...

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  17. The equation of the line passing through the point of intersection of ...

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  18. The equation of the line passing through the intersection of the lines...

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  19. The equation of the straight line perpendicular to 5x-2y=7 and passing...

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  20. The equation of the line passing through the point of intersection of ...

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