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The condition that the lines y=m(1)x+c(1...

The condition that the lines `y=m_(1)x+c_(1), y=m_(2)x+c_(2), y=m_(3)x+c_(3)` are concurrent is

A

`m_(1)(c_(2)-c_(3))+m_(2)(c_(3)-c_(1))+m_(3)(c_(1)-c_(2))=0`

B

`m_(1)+m_(2)+m_(3)=0`

C

`m_(1)c_(2)-m_(2)c_(3)+c_(2)m_(3)=0`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
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  3. 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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  4. 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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  5. 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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  6. If the straight lines ax+by+c=0 and x cos alpha+y sin alpha=c, enclose...

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

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

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

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

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  14. 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 intersection of the lines...

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

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