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The foci of a hyperbola coincide with th...

The foci of a hyperbola coincide with the foci of the ellipse `(x^2)/(25)+(y^2)/9=1.` Find the equation of the hyperbola, if its eccentricity is 2.

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The correct Answer is:
`(x^(2))/4-(y^(2))/12=1`
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CBSE COMPLEMENTARY MATERIAL-COORDINATE GEOMETRY-section(C) (Short Answer Type Question) (4 Marks)
  1. Find equation of an ellipse having vetices (0, pm5) and foc (0,pm4).

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  2. If the distance between the foci of a hyperbola is 16 and its eccen...

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  3. Find the equation for the ellipse that satisfies the given conditio...

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  4. If one end of a diameter of the circle x^(2)+y^(2)-4x-6y+11=0 is (3, ...

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  5. Find the equation of the ellipse with foci at (+-5,0)a n dx=(36)/5 as ...

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  6. The foci of a hyperbola coincide with the foci of the ellipse (x^2)...

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  7. Find the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 which passe...

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  8. If the latursrectum of an ellipse is equal to half of its minor-axis, ...

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  9. find equation of circle concentric with circle 4x^2+4y^2-12x-16y-21=0 ...

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  10. Find the equation of a circle whose centre is at (4, -2) and 3x-4y+5=0...

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  11. If equation of the circle is in the form of x^2+y^2+2gx+2fy+c=0 then p...

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  12. The equation (x-x1)(x-x2)+(y-y1)(y-y2=0 Represents a circle whose cent...

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  13. The equation of the circle touching the lines x = 0, y=0 and x= 2c is-

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  14. Find the equation of the parabola having focus at (-1,-2) and directri...

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  15. Find the equation of the set of all points the sum of whose distanc...

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  16. Show that the set all points such that the difference of their dist...

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  17. if OXPY is a square of side 4 cm in first quadrant, where O is the ori...

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