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Explain what geometrical diagrams are re...

Explain what geometrical diagrams are represented by the equatio `(x^(2))/(a^(2)) + (y^(2))/(a^(2)(1-e^(2))) = 1`, where a and e are constants.

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The correct Answer is:
An ellipse when `0 lt e lt 1`, a circle when e =0 and a hyperbola when e >1.
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CHHAYA PUBLICATION-HYPERBOLA-VERY SHOT ANSWER TYPE QUESTIONS
  1. Explain what geometrical diagrams are represented by the equatio (x^(2...

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  2. Show that the eccentricity of any rectagular hyperbola is sqrt(2).

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  3. Find the eccentricity, coordinates of the foci and the equations of th...

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  4. Show that the eccentricities of the two hyperbolas(x^(2))/(16) - (y^(2...

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  5. Find the coordinates of the foci of the hyperboala x^(2) - y^(2) + 1 =...

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  6. Find the eccentricity, and the length of latus rectum of the hyperbola...

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  7. Find the length of latus rectum and the equations of the directrices o...

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  8. What type of conic is represented by the equation x^(2) - y^(2) = 4? W...

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  9. If the length of conjugate axis and the length of latus rectum of a hy...

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  10. If the length of latus rectum of a rectangular hyperbola is 6 unit, fi...

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  11. If the latus rectum and the transverse axis of a hyperbola are equal, ...

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  12. Find the position of the following points with respect to the hyperbol...

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  13. Find the position of the point (7,2) with respect to the hyperbola 9x^...

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  14. Show that the locus of the point of intersection of the lines (x)/(a)-...

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  15. Find the parametric coordinates of the point ((1)/(sqrt(3)),(1)/(sqrt(...

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  16. Prove that the equations x = 6(cosec t + sin t ) and y = 15(cosec t - ...

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