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If the line y l=sqrt(3)x cuts the curve ...

If the line `y l=sqrt(3)x` cuts the curve `x^2=y^2+3x y+5x^2+3y^2+4x+5y-1=0` at the point `A , B , C ,` then `O AdotO BdotO C` is equal to `(k/(13))(3sqrt(3)-1)` . The value of `k` is______

A

`4/13(3sqrt(3)-1)`

B

`3sqrt(3)+1`

C

`2/(sqrt(3))+7`

D

None of these

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The correct Answer is:
A
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
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  4. A straight line L through the point (3,-2) is inclined at an angle 60^...

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  9. The range of value of alpha such that (0,alpha) lies on or inside the ...

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  10. If P is a point (x ,y) on the line y=-3x such that P and the point (3,...

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  11. If the line y l=sqrt(3)x cuts the curve x^2=y^2+3x y+5x^2+3y^2+4x+5y-1...

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  12. The equation of a straight line, which passes through the point (a,0) ...

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  13. P(m, n) (where m, n are natural numbers) is any point in the interior ...

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  14. Find the distance between the parallel lines 3x 4y + 7 = 0and3x 4y ...

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  15. The value of h for which the equation 3x^2+2hxy-3y^2-40x+30y-75=0 repr...

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  16. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 ...

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  17. The slopes of lines represented by x^2+2hxy+2y^2=0 are in the ratio 1:...

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  18. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

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  19. If the pair of straight lines x^2 - 2pxy - y^2 = 0 and x^2 - 2qxy -y^2...

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  20. The equation 8x^2 +8xy +2y^2+26x +13y+15=0 represents a pair of straig...

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