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Prove that in an ellipse the perpendicul...

Prove that in an ellipse the perpendicular from focus upon any tangent and the line joining the centre of the ellipse to the point of contact meet on the corresponding directrix.

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AAKASH SERIES-ELLIPSE-ADDITIONAL EXERCISE
  1. The tangent at a point P(theta) to the ellipse x^2/a^2+y^2/b^2=1 cuts ...

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  2. If foci and the ends of the minor axis of an ellipse are the vertices ...

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  3. Prove that the locus of an end of latusrectum of all ellipses having a...

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  4. Show that the length of common tangent to the ellipse 'x^(2)/(25)+y^(2...

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  5. Let d be the perpendicular distance from the centre of the ellipse x^(...

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  6. Find the point on the curve 4x^(2) + a^(2)y^(2) = 4a^(2), 4lta^(2)lt8,...

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  7. Prove that in an ellipse the perpendicular from focus upon any tangent...

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  8. Let P be a point on the ellipse Let the line parallel to y-axis passin...

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  9. Let P be a point on the ellipse Let the line parallel to y-axis passin...

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  10. Consider the family of circles If in the 1st quadrant, the common tang...

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  11. Show that the maximum distance of centre of the ellipse x^(2)/a^(2)+y^...

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  12. The product of the perpendiculars from the foci on any tangent to the...

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  13. Prove that the locus of mid points of the chords (x^(2))/(a^(2))+(y^(2...

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  14. Prove that the locus of mid points of the chords (x^(2))/(a^(2))+(y^(2...

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  15. Find the shortest distance between the ellipse x^(2) + 2y^(2) = 2 and ...

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  16. Given the base of the triangle and the sum of tangent of base angles a...

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  17. If a circle intercepts the ellipse at four points, show that the sum o...

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  18. If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2...

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  19. From a variable point P tangents are drawn to the ellipse 4x^(2) + 9y^...

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  20. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

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