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If a,b,c form a GP with common ratio r, ...

If a,b,c form a GP with common ratio r, the sum of the ordinates of the points of intersection of the line ax+by+c=0 and the curve `x+2y^2=0` is

A

`-(r^(2))/(2)`

B

`-(r)/(2)`

C

`(r)/(2)`

D

r

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The point of intersection of the straight lines 2x+3y+4=0, 6x-y+12=0 i...

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  2. The point of intersection of the diagonals of the quadrilateral with v...

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  3. If a,b,c form a GP with common ratio r, the sum of the ordinates of th...

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  4. If the lines 7x+2y-8=0, 2x+y-1=0, 3x+4y+6=0 are concurrent, then the p...

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  5. The lines x-y-2=0, x+y-4=0 and x+3y=6 meet in the common point

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  6. The lines 2x+y-1=0, ax+3y-3=0, 3x+2y-2=0 are cuncurrent

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  7. If the lines 3x+y+2=0, 2x-y+3=0, 2x+ay-6=0 are concurrent then a =

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  8. If the lines 4x+3y-1=0, x-y+5=0 and kx+5y-3=0 are concurrent, then k =

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  9. The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33...

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

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

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  12. 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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  13. 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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  14. 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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  15. 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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  16. If the straight lines ax+by+c=0 and x cos alpha+y sin alpha=c, enclose...

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

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

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

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  20. 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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