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The length of the straight line x-3y =1...

The length of the straight line ` x-3y =1 ` intercept by the hyperbola `x^(2) -4y^(2) =1 `is

A

`6sqrt(2//3) `

B

` 6sqrt(2//5)`

C

` 3sqrt(2//5)`

D

` 2sqrt(2//5)`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equations to the common tangents to the two hyperbolas x^(2)//a^(2...

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  2. The equation of the common tangents drawn to the curves y^(2) =8x and...

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  3. The length of the straight line x-3y =1 intercept by the hyperbola x...

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  4. The product of the perpendicular from the foci on any tangent to the h...

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  5. The equation to the pair of asymptotes of the hyperbola 2x^(2) -y^(2)...

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  6. The equations of the asymptotes of the hyperbola 4x^(2) -9y^(2) =36 a...

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  7. The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 i...

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  8. The angles between the asymptotes of the hyperbola x^(2)//a^(2) -y^(2...

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  9. The angles between asymptotes of the hyperbola xy =c^(2) is

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  10. The asymptotes of a rectangular hyperbola intersect at an angle

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  11. The combined equation of the asymptotes of the hyperbola xy+x+y+5=0 is

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  12. The asymptotes of the hyperbola 6x^(2) +13xy +6y^(2) -7x -8y-26 =0 ar...

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  13. The equation to the hyperbola with vertex (4,0) and having asymptotes ...

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  14. The equation of the hyperbola whose asymptotes are 3x+4y -2=0,2x+y+1=...

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  15. The equation of the hyperbola which passes through the point (2,3) a...

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  16. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  17. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  18. The assymptotes of the hyperbola are parallel to 3x+2y=0, 2x+3y=0 whos...

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  19. The equation of one asymptote of the hyperbola 14x^(2)+38y+20y^(2)+x-7...

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  20. The product of the perpendicular from any point on the hyperbola x^(2)...

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