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Find the locus of the-mid points of the chords of the circle `x^2 + y^2=16`, which are tangent to the hyperbola `9x^2-16y^2= 144`

A

`(x^(2)-y^(2))^(2)=16x^(2)-9y^(2)`

B

`(x^(2)+y^(2))^(2)=9x^(2)-16y^(2)`

C

`(x^(2)+y^(2))^(2)=16x^(2)+9y^(2)`

D

`(x^(2)-y^(2))^(2)=16x^(2)+9y^(2)`

Text Solution

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The correct Answer is:
c
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MCGROW HILL PUBLICATION-HYPERBOLA-EXERCISE LEVEL 1(SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  2. The point (at^2,2bt) lies on the hyperbola x^2/a^2-y^2/b ^2= 1 for

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  3. If the coordinates of four concyclic point on the rec­tangular hyperbo...

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  4. The eccentricity of a rectangular hyperbola, is

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  5. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

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  6. Foci of the rectangular hyperbola are (pm 7) the equation of the hype...

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  7. The is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(6)=1 such that...

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  8. The normal at a point P to the parabola y^(2) = 4x is parallel to the ...

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  9. The difference between the length 2a of the trans­verse axis of a hype...

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  10. The locus of the point of intersection of the tangents to the hyperbol...

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  11. If the asymptotes of the hyperbola perpendicular to the asymptotes of...

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  12. P and Q are two points on the rectangular hyperbola xy = C^(2) such th...

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  13. Normal at (3, 4) to the rectangular hyperbola x y - y - 2 x - 2 = 0 me...

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  14. Find the locus of the-mid points of the chords of the circle x^2 + y^2...

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  15. If the eccentricity of the hyperbola is sqrt(5) and the distance betwe...

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  16. If the extremities of the latus rectum of the hyperbola with positive...

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  17. The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 ...

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  18. The angle between the asymptotes of the hyperbola (x^(2))/(16)-(y^(2))...

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  19. The parametric equation x=a(sec theta+tan theta),y=b(sec theta-tan t...

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  20. If a normal to the hyperbola x^(2) - 4y^(2) = 4 having equal positive ...

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