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Find the point on the curve 4x^2+a^2y^...

Find the point on the curve `4x^2+a^2y^(2)=4a^(2), 4 lt a^(2) lt 8` that is farthest from the point (0, –2).

A

`(2,0)`

B

`(0,2)`

C

`(2,-2)`

D

`(-2, 2)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The point on the circle x^(2)+y^(2) - 2x - 4y - 11=0 which is farthest from the origin is

    A
    `(1+(8)/(sqrt(5)), 2+(4)/(sqrt(5)))`
    B
    `(1+(4)/(sqrt(5)), 2+(8)/(sqrt(5)))`
    C
    `(2+(8)/(sqrt(5)), 1+(4)/(sqrt(5)))`
    D
    none

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