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Let the equation of an ellipse be (x^(2...

Let the equation of an ellipse be `(x^(2))/(144) + (y^(2))/(25) = 1 ` . Then the radius of the circle with centre `(0 , sqrt(2))` and passing through the foci of the ellipse is _

A

9

B

7

C

11

D

5

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right angle at a point P . Then the locus of P is _

    A
    `x^(2) +y^(2) = 1 `
    B
    `x^(2) +y^(2) = 2 `
    C
    `x^(2) + y^(2) = 4 `
    D
    `x^(2)+ y^(2) = 8 `

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