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

If the foci of `(x^2)/(a^2)-(y^2)/(b^2)=1` coincide with the foci of `(x^2)/(25)+(y^2)/9=1` and the eccentricity of the hyperbola is 2, then `a^2+b^2=16` there is no director circle to the hyperbola the center of the director circle is (0, 0). the length of latus rectum of the hyperbola is 12

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 t...

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

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

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

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  5. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents (a)an ell...

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  6. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

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  7. 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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  8. lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 ...

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  9. If L is the length of the latus rectum of the hyperbola for which x=3a...

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  10. If the chord xcosalpha+ysinalpha=p of the hyperbola (x^2)/(16)-(y^2)/(...

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

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  12. If the distance between two parallel tangents having slope m drawn to ...

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  13. The area of triangle formed by the tangents from the point (3, 2) to t...

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  14. If a variable line has its intercepts on the coordinate axes e and e^(...

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  15. If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y...

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  16. If the hyperbola x^2-y^2=4 is rotated by 45^0 in the anticlockwise dir...

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  17. Find the point on the hyperbola x^2/24 - y^2/18 = 1 which is nearest t...

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  18. The number of possible tangents which can be drawn to the curve 4x^2-9...

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  19. If values of a, for which the line y=ax+2sqrt(5) touches the hyperbola...

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  20. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

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