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The eccentricity of the conic represente...

The eccentricity of the conic represented by `x^2-y^2-4x+4y+16=0` is 1 (b) `sqrt(2)` (c) 2 (d) `1/2`

A

`1`

B

`(1)/(2)`

C

`-1`

D

`sqrt(2)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The eccentricity of the conics - (x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 is

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

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