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The locus of the point of intersection o...

The locus of the point of intersection of lines `(x)/(a)+(y)/(b)=lambda` and `(x)/(a)-(y)/(b)=(1)/(lambda),` where `lambda` is a parameter, is

A

a circle

B

a parabola

C

an ellipse

D

a hyperbola

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The correct Answer is:
D
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  6. The locus of the middle points of chords of the hyperbola 3x^2-2y^2+4x...

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  7. If e and e' be the eccentricities of a hyperbolas xy=c^2 and x^2-y^2=c...

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  8. The length of the transverse axid , along x - axis with centre at orig...

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  9. The equations x=(1)/(2)(t+(1)/(t)), y=(1)/(2)(t-(1)/(t)), t ne 0, rep...

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  10. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

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  11. If P is any point on the hyperbola x^(2)-y^(2)=a^(2) then S P . S^(pri...

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  12. The angle between the asymptotes of the hyperbola 3 x^(2)-y^(2)=3 is

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  13. The equation of a tangent to the hyperbola 16x^2-25y^2-96x+100y-356=0,...

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  14. Equation of a tangent to the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 whi...

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  15. Product of lengths of perpendiculars drawn from the foci on any tangen...

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  17. Combined equations of asymptotes of the hyperbola 2 x^(2)-3 y^(2)+4 x-...

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  18. The angle between the asymptote of the hyperbola 2 x^(2)-2 y^(2)-8 x+1...

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  19. The angle between the asymptotes of the hyperbola, 3 x^(2)-2 y^(2)+4 x...

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