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Foci of ellipse ((x-1)^(2))/(4)+((y-2)^(...

Foci of ellipse `((x-1)^(2))/(4)+((y-2)^(2))/(9)=1` is/are

A

`(1,2) +sqrt(5))`

B

`(1,2- sqrt(3))`

C

`(1+(2sqrt(5))/(3),2)`

D

`(1-(2 sqrt(5))/(3),2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
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Knowledge Check

  • The foci of the ellipse ((x-3)^(2))/(36)+((y+2)^(2))/(16)=1, are

    A
    `(3+-2sqrt(5),2)`
    B
    `(3+-2sqrt(5),-2)`
    C
    `(3-2)`
    D
    none of these

  • F_(1) and F_(2) are the two foci of the ellipse (x^(2))/(9) + (y^(2))/(4) = 1. Let P be a point on the ellipse such that |PF_(1) | = 2|PF_(2)| , where F_(1) and F_(2) are the two foci of the ellipse . The area of triangle PF_(1)F_(2) is :

    A
    3
    B
    4
    C
    `sqrt(5)`
    D
    `(sqrt(13))/(2)`

  • The foci of a hyperbola coincide with the foci of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 . If the eccentricity of the hyperbola is 2 , then the equation of the tangent of this hyperbola passing through the point (4,6) is

    A
    `2x-y-2=0`
    B
    `3x-2y=0`
    C
    `2x-3y+10=0`
    D
    `x-2y+8=0`

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