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The equation of the transverse and cojug...

The equation of the transverse and cojugate axes of a hyperbola are respectively `x+ 2y -3=0 ,2x -y+4=0`
and their respectively length are` sqrt 2 and 2//sqrt 3` . The equation of the hyperbola is

A

` (2)/(5) (2x-y+4) ^(2) -(3)/(5) (x+2y-3) ^(2) = 1 `

B

` (2)/(5) (2x- y+3)^(2) -(3)/(5) (x+2y -3)^(2) =1`

C

` 2 ( 2x- y+4) ^(2) -3( x+2y-3) ^(2) =1`

D

` 2(x+2y-3) ^(2) -3(2x- y +4) ^(2) =1`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
  1. The equation of the transverse and cojugate axes of a hyperbola are r...

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  2. The equation | sqrt( (x- 2) ^(2) + (y-1) ^(2)) - sqrt( (x+ 2)^(2) +...

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  3. The equation | sqrt( (x- 2) ^(2) + (y-1) ^(2)) - sqrt( (x+ 2)^(2) +...

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  4. The equation of the common tangent to y^(2)=4x and 3x^(2) -4y^(2) =12...

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  5. Equation of the common tangents of (x^(2))/( y^(2)) +- (y^(2))/( b^(2)...

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  6. Find the equation of the chord joining two points (x(1), y(1))and (x(2...

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  7. The locus of the points of intersection of tangents to the hyperbola ...

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  8. For the hyperbola (x^(2))/( cos ^(2) alpha ) -(y^(2))/( sin ^(2) alph...

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  9. The foci of the ellips (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 and the h...

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  10. If (3,1) is a focus and x= 0 is the corresponding directrix of a conic...

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  11. If the normal at the point t(1) to the rectangle hyperola xy=c^(2) mee...

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  12. The length of the semi treansverse axis of the rectangular hyperbola x...

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  13. Focii of the curve xy = -4 are

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  14. Length of the principal axis of the hyperbola xy= 32 is

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  15. If (xi yi) ,i =1,2,3,4 are concylic points on xy= 4 then x1x2x3x4 =

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  16. If (xi yi) ,i = 1,2,3,4 are concyclic points on xy=c^(2) and if y1. ...

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  17. The locus a point P ( alpha , beta) moving under the condition that ...

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  18. The auxiliary circle of the hyperbola xy=9 is:

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

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

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