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The tangents from (1, 2sqrt2) to the hyp...

The tangents from `(1, 2sqrt2)` to the hyperbola `16x^2-25y^2 = 400` include between them an angle equal to:

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The tangents from a point (2sqrt(2),1) to the hyperbola 16x^(2) - 25y^(2) = 400 include an angle equal to

    A
    `pi//2`
    B
    `pi//4`
    C
    `pi`
    D
    `pi//3`

  • If the line y=2x+lamda is a tangent to the hyperbola 36x^2-25y^2=3600 , then lamda is equal to

    A
    16
    B
    `-16`
    C
    `+-16`
    D
    None of these

  • The locus of the middle points of the portions of the tangents of the hyperbola. (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 included between the axes is

    A
    `a^(2)x^(2)-b^(2)y^(2)=x^(2)y^(2)`
    B
    `b^(2)x^(2)-a^(2)y^(2)=x^(2)y^(2)`
    C
    `b^(2)x^(2)-a^(2)y^(2)=4x^(2)y^(2)`
    D
    `a^(2)x^(2)-b^(2)y^(2)=4x^(2)y^(2)`

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