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The locus of a point P(alpha, beta) movi...

The locus of 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

a hyperbola

C

an ellipse

D

a circle

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  10. The eccentricity of the hyperbola 9 x^(2)-16 y^(2)+72 x-32 y-16=0 is

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  11. The vertices of a hyperbola are (2,0),(-2,0) and the foci are (3,0),(-...

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  12. The equation of a line which touches both the curves y^(2)=4 x and 3 x...

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  14. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

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  15. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

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  16. If e and e^(prime) are the eccentricities of the ellipse 5 x^(2)+9 y^(...

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