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Let a hyperbola passes through the focus of the ellipse `(x^(2))/(25)-(y^(2))/(16)=1`. The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then

A

The equation of the hyperbola is : `x^2/9- y^2/16=1`

B

The equation of the hyperbola is : `x^2/9- y^2/25=1`

C

Focus of hyperbola is (5, 0)

D

Focus of hyperbola is `(5 sqrt3, 0)`.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The axis of a parabola is along the line y=x and the distance of its v...

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  2. The equation of the common tangents to the parabola y = x^2 and y=- (x...

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  3. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)-(...

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  4. If one of the lines of my^2+(1-m^2) xy-mx^2=0 is a bisector of the ang...

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  5. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

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  6. Consider a family of circles which are passing through the point (-1,1...

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  7. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  8. A hyperbola having the transverse axis of length 2sintheta, is confoca...

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  9. For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1, whi...

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  10. The perpendicular bisector of the line segment joining P(1,4) and Q (k...

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  11. The point diametrically opposite to the point P(1,0) on the circle x^(...

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  12. A parabola has the origin as its focus and the line x=2 as the directr...

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  13. A focus of an ellipse Is that the rigin. The directrix is the line x=4...

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  14. Consider three points : P (- sin (beta- alpha), - cos beta), Q = (cos...

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  15. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

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  16. Let a and b be non-zero real numbers. Then the equation : (ax^2 + by^2...

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  17. Consider a branch of the hyperbola : x^2 -2y^2-2sqrt2x-4sqrt2y-6=0 wit...

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  18. Tangents drawn from the piont P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

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  19. The tangent PT and the normal PN to the parabola y^2=4ax at a point P ...

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  20. The line passing through the extremity A of the major axis and extremi...

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