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Length of common tangents to the hyperbo...

Length of common tangents to the hyperbolas `x^2/a^2-y^2/b^2=1` and `y^2/a^2-x^2/b^2=1` is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A, B, C, D
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Area of the quadrilateral formed with the foci of the hyperbola x^2/a^2-y^2/b^2=1 and x^2/a^2-y^2/b^2=-1 (a) 4(a^2+b^2) (b) 2(a^2+b^2) (c) (a^2+b^2) (d) 1/2(a^2+b^2)

Knowledge Check

  • The length of the latus rectum of the hyperbola x^2/a^2-y^2/b^2=-1 is

    A
    `(2a^2)/b`
    B
    `(2b^2)/a`
    C
    `b^2/a`
    D
    `a^2/b`

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