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If (lambda-2)x^(2)+4y^(2)=4 represents a...

If `(lambda-2)x^(2)+4y^(2)=4` represents a rectangular hyperbola then `lambda=`

A

0

B

1

C

`-2`

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-HYPERBOLA-Exercise -I
  1. The equation of the hyperola whose centre is (1,2) one focus is (6,2) ...

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  2. x^(2) -y^(2) +5x +8y -4=0 represents

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  3. If (lambda-2)x^(2)+4y^(2)=4 represents a rectangular hyperbola then la...

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  4. If m is a variable the locus of the point of intersection of the lines...

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  5. The centre of the hyperbola x^(2)-y^(2)-4x-2y-8=0 is

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  6. The vertices of the hyperbola x^(2)-3y^(2)+2x+12y+1=0 are

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  7. The length of the transverse axis of 9x^(2)-16y^(2)-18x-32y-151=0 is

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  8. The length of the latus rectum of the hyperbola x^(2) -4y^(2) =4 is

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  9. The equation of the conjugate axis of the hyperbola ((y-2)^(2))/(9)-((...

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  10. Equation of directrices of 4x^(2)-9y^(2)=36 are

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  11. The equation of the latusrectum of the hyperbola 3y^(2)-4x^(2)=12 are

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  12. The equation of the axes of the hyperbola 9x^(2) -16y^(2) +72x -32y -1...

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  13. If a,b are eccentricities of a hyperbola and its conjugate hyperbola t...

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  14. The eccentricity of the conjugate hyperbola of the hyperola x^(2)-3y^(...

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  15. If e(1) and e(2) are eccentricities of the hyperbolas xy=c^(2) and x^2...

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  16. The locus of the point ( (e^(t) +e^(-t))/( 2),(e^t-e^(-t))/(2)) is a h...

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  17. The distance between the foci is 4sqrt(13) and the length of conjugate...

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  18. The latus rectum of a hyperbola (x^(2))/( 16) -(y^(2))/( p) =1 is 4(1...

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  19. If the latus rectum through one focum subtends a right angle at the fa...

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  20. If the lactus recturm of a hyperbola through one focus subtends 60^@ a...

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