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The equations to the common tangents to ...

The equations to the common tangents to the two hyperbolas `x^(2)//a^(2) -y^(2) //b^(2) ` =1 and ` y^(2) //a^(2) -x^(2) //b^(2) =1 ` are

A

` y= x+- sqrt (b^(2) -a^(2))`

B

` y=+-x+-sqrt(a^(2) - b^(2) ) `

C

`y=+-x+- (a^(2) -b^(2))`

D

` y=+-x+-sqrt(a^(2)+b^(2))`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The product of the perpendicular from the foci on any tangent to the h...

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  2. From any point on the hyperbola x^(2) -y^(2) =a^(2) -b^(2) two tange...

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  3. The equations to the common tangents to the two hyperbolas x^(2)//a^(2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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