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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

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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MCGROW HILL PUBLICATION-HYPERBOLA-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
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  6. A tangent to the hyperbola meets x-axis at P and y-axis at Q. Lines P...

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  10. An ellipse passes through the foci of the hyperbola, 9x^2 - 4y^2 = 36 ...

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  11. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  12. A hyperbola whose transverse axis is along the major axis of the conic...

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  13. Let a and b respectively be the semi-transverse and semi-conjugate axe...

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  14. The locus of the point of intersection of thestraight lines tx-2y-3t=...

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  15. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

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  16. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

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  17. If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordi...

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  18. If a hyperbola has length of its conjugate axis equal to 5 and the dis...

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  19. Equation of a common tangent to the parabola y^(2)=4x and the hyperbol...

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  20. Let 0 lt theta lt (pi)/2. If the eccentricity of the hyperbola (x^(2))...

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