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A common tangent to 9x^2-16y^2 = 144 an...

A common tangent to `9x^2-16y^2 = 144` and `x^2 + y^2 = 9`, is

A

`y=(3)/(sqrt(7))x+(15)/(sqrt(17))`

B

`y=3 sqrt((2)/(sqrt(17)))x+(25)/(sqrt(7))`

C

`y=2sqrt((3)/(7))x+15sqrt(7)`

D

`y=-3 sqrt((2)/(sqrt(7)))x +(25)/(sqrt(7))`

Text Solution

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The correct Answer is:
B, D
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Knowledge Check

  • A common tangent to 9x^(2)-16y^(2)=144and x^(2)+y^(2)=9 is

    A
    `y=(3)/(sqrt(7))x+(15)/(sqrt(7))`
    B
    `y=3sqrt((2)/(7))x+(15)/(sqrt(7))`
    C
    `y=2sqrt((3)/(7))x+15sqrt(7)`
    D
    none of these

  • The length of a common tangent to x^2 + y^2 = 16 and 9x^2 + 25y^2 = 225 is

    A
    `9/4`
    B
    `(sqrt3)/(4)`
    C
    `3/4 sqrt(7)`
    D
    `5/4 sqrt(7)`

  • A common tangent to x^(2) - 2y^(2) =18 and x^(2) + y^(2) = 9 is

    A
    `y=2x+3sqrt(5)`
    B
    `y=sqrt(2x)+3sqrt(3)`
    C
    `y=2x+3sqrt(7)`
    D
    `y=sqrt(2x)+3sqrt(5)`

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