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The locus a point P(alpha,beta) moving u...

The locus a point `P(alpha,beta)` moving under the condition that the line `y=alphax+beta` is a tangent to the hyperbola `x^2/a^2-y^2/b^2=1` is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

A

an ellipse

B

a circle

C

a parabola

D

a hyperbola

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The locus of a point P(alpha, beta) moving under the condition that the line y=alpha x + beta is a tangent to the hyperbola x^2/a^2-y^2/b^2=1 , is

    A
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    B
    a parabola
    C
    a circle
    D
    an ellipse

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    A
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    B
    `xy=a`
    C
    `xy=a^(2)`
    D
    `ax^(3)+2ax+y=0`

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