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PQ is any double ordinate of the ellip...

PQ is any double ordinate of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 ` , find the euqation to the locus of the point of trisection of PQ that is nearer to P .

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The correct Answer is:
`x^(2) b^(2) + 9y^(2) alpha^(2) =a^(2) b^(2)`
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CHHAYA PUBLICATION-ELLIPSE-Very Short Answer Type Qustions
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  2. If the ellipse (x^(2))/(a(1)^(2))+(y^(2))/(b(1)^(2))=1(a(1)^(2)gtb(1)^...

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

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

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

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

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

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

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

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

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  14. The eccentricity of an ellipse is (2)/(3) and the coordinates of its ...

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  15. The distance of a point of the ellipse x^(2) + 3y^(2) = 6 from its ...

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  16. PQ is any double ordinate of the ellipse (x^(2))/(a^(2))+(y^(2))/(b...

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  17. Show that the double ordinate of the auxiliary circle of an ellipse pa...

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  18. O is the centre of an ellipse whose semi-minor axis is b . The ordina...

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  19. If (alpha +beta ) and (alpha - beta ) are the eccentric angles ...

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  20. If the theta and varphi be the eccentric angles of the two ends o...

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