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The equation of a rectangular hyperbola whose asymptotes are `x=3` and `y=5` and passing through (7,8) is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The asymptote of the hyperbola x^2/a^2-y^2/b^2=1 form with an tangent ...

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  2. The asymptotes of the hyperbola xy=hx+ky are

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  3. The equation of a rectangular hyperbola whose asymptotes are x=3 and y...

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  4. The centre of a rectangular hyperbola lies on the line y =2x. If one o...

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  5. If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2...

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  6. Four points are such that the line joining any two points is perpendic...

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  7. If tangents O Q and O R are dawn to variable circles having radius r a...

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  8. The equation, 2x^2+ 3y^2-8x-18y+35= K represents (a) no locus if k g...

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  9. Each question has four choices a,b,c and d out of which only one is...

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  10. From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y...

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  11. The differential equation (dx)/(dy)=(3y)/(2x) represents a family of h...

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  12. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

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  13. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

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  14. If the foci of (x^2)/(a^2)-(y^2)/(b^2)=1 coincide with the foci of (x^...

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  15. The locus of a point whose chord of contact with respect to the circle...

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  16. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

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  17. lf the eccentricity of the hyperbola x^2 - y^2 sec^2 alpha=5 is sqrt3...

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  18. If L is the length of the latus rectum of the hyperbola for which x = ...

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  19. If the chord x cos theta alpha+y sin alpha=p of the hyperbola (x^(2))...

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  20. If the vertex of a hyperbola bisects the distance between its center ...

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