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If the foci of a hyperbola lie on y=x an...

If the foci of a hyperbola lie on `y=x` and one of the asymptotes is `y=2x ,` then the equation of the hyperbola, given that it passes through (3, 4), is (a)`x^2-y^2-5/2x y+5=0` (b) `2x^2-2y^2+5x y+5=0` (c) `2x^2+2y^2-5x y+10=0` (d) none of these

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. The centre of a rectangular hyperbola lies on the line y =2x. If one o...

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

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

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

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

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

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

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

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

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