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If the ellipse (x^(2))/(a^(2))+(y^(2))...

If the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and `(x^(2))/(p^(2))+(y^(2))/(q^(2))=1` have the same eccentricity , show that aq = bp .

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CHHAYA PUBLICATION-ELLIPSE-Very Short Answer Type Qustions
  1. Find the eccentricity of the ellipse if the length of minor axis ...

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  2. Find the eccentricity of the ellipse if the length of minor axis i...

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  3. If the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(p^(2...

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  4. The ellipse (x^(2))/(169) + (y^(2))/(25) = 1 has the same eccentri...

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  5. Find the positions of the points (i) (-3,1) (ii) (-2,-3) and (ii...

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  6. For what values of a^(2) does the point (2sqrt(3), 1) lie outsid...

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  7. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

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  8. Find the coordinates of a point on the ellipse x^(2) + 2y^(2) = 4 ...

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  9. If the ellipse (x^(2))/(a(1)^(2))+(y^(2))/(b(1)^(2))=1(a(1)^(2)gtb(1)^...

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  10. Find (i) the centre, (ii) vertices, (iii) equations of the axes, (iv) ...

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  11. Find (i) the centre, (ii) vertices, (iii) equations of the axes, (iv) ...

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  12. Find (i) the centre, (ii) vertices, (iii) equations of the axes, (iv) ...

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  13. Find the eccentricity, the length of latus rectum and the centre of e...

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  14. Find the latus rectum , eccentricity and the coordinates of the foci o...

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  15. Examine, with reasons, the validity of the following statement : x^(2...

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  16. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through (-3 , ...

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  17. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through the...

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  18. The coordinates of the centre and of a vertex of an ellipse are (-2,-...

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  19. The vertices of an ellipse are (-1,2) and (9,2) . If the eccentrici...

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  20. Find the equation of the ellipse whose foci are (2,3) and (-2,3) an...

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