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If a hyperbola passes through the foci of the ellipse `x^2/25+ y^2/16=1` and, its transverse and conjugate axes coincide with the major and minor axes of the ellipse and product of their eccentricities be 1, then the equation of hyperbola is :

A

`x^2/9-y^2/25=1`

B

`x^2/9-y^2/16=1`

C

`x^2/16-y^2/25=1`

D

None of these.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The angle between the pair of lines : x^2+2xy-y^2=0 is :

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  2. In an ellipse, if the lines joining focus to the extremities of the mi...

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  3. If a hyperbola passes through the foci of the ellipse x^2/25+ y^2/16=1...

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  4. The curve described parametrically by x=t^2+t and y=t^2-t represents :

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  5. If P is a point (x,y) on the line y=-3x such that P and the point (3,4...

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  6. A variable line through the point (1/5,1/5) cuts the coordinate axes i...

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  7. Find the equation of the circle which cuts orthogonally the circle x^(...

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  8. If the slope of one of the lines represented by ax^2+2hxy+ by^2 =0 be ...

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  9. If, in a hyperbola, the distance between the foci is 10 and the transv...

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  10. If (3, 3) is a vertex of a triangle and (- 3, 6) and (9,6) are the mid...

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  11. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

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  12. The equation of the circle passing through the point (1, 1) and throug...

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  13. If the lines : x+2ay+a=0, x+3by+b=0 and x+4cy+c=0 are concurrent, wher...

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  14. If the equation lambda x^2+(2 lambda-3)y^2-4x-1=0 represents a circle,...

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  15. If x= 9 is the chord of contact of the hyperbola x^2-y^2=9, then the e...

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  16. On the ellipse 4x^2+9y^2=1, the points at which tangents are parallel ...

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  17. The equation of the common tangent touching the circle (x-3)^2 +y^2=9 ...

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  18. The number os integral values of m for which the x - coordinates of th...

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  19. The equation of the directrix of the parabola : y^2+ 4y + 4x+2=0 is:

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  20. Let AB be a chord of the circle x^2+ y^2 = r^2 subtending a right angl...

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