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The foci of the curve which satisfies th...

The foci of the curve which satisfies the equation `(1+y^(2))dx - xy dy = 0` and passes through the point (1, 0) are

A

`(sqrt(2), 0)`

B

`(0, sqrt(2))`

C

`(sqrt(-2), 0)`

D

`(0, -sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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Knowledge Check

  • the equation of the curve satisfying the equation (xy - x^(2)) (dy)/(dx) = y^(2) and passing through the point (-1, 1), is

    A
    `y = (log y - 1)x`
    B
    `y = (log y + 1)x`
    C
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    A
    `y=(logy-1)x`
    B
    `y=(log y+1)x`
    C
    `x= (log x-1)y`
    D
    `x = (log x+1)y`

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    A
    A hyperbola
    B
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