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Find the equation of the tangent to the ...

Find the equation of the tangent to the hyperbola `4x^(2)-9y^(2)=36" at "theta=pi/4`

Text Solution

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The correct Answer is:
`(2sqrt2)x-3y=6`
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The equation of the tangent to the hyperola x^(2)/9-y^(2)/4=1 at the point theta=pi/3 is

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Knowledge Check

  • The equation of asymptotes of the hyperbola 4x^(2)-9y^(2)=36 is

    A
    `3y pm 2x=0`
    B
    `2x pm 5y=0`
    C
    `2x pm 6y=0`
    D
    `2x pm 8y=0`

  • The equations of the asymptotes of the hyperbola 4x^(2) -9y^(2) =36 are

    A
    `2x+-3y =0`
    B
    ` 2x+-5y =0`
    C
    ` 2x+-6y=0`
    D
    ` 2x+-8y=0`

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    Find the equation of the tangent to the hyperbola 3x^(2)-4y^(2)=12 which is perpendicular to the line x-y=7.

    Find the asymptotes of the hyperbola 4x^(2)-9y^(2)=36

    Find the equation of the tangents to the hyperbola x^(2)-4y^(2)=4 which are parallel and perpendicular to the line x+2y=0

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