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If the normal at one end of a latus rect...

If the normal at one end of a latus rectum of the ellipse `x^2/a^2+y^2/b^2=1` passes through one end of the minor axis, then show that `e^4+e^2=1`[ e is the eccentricity of the ellipse]

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-ELLIPSE-EXERCISE 4(B)
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  2. Find the equation of tangent and normal to the ellipse x^2+8y^2=33 at...

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  3. Find the equation of tangent and normal to the ellipse x^2+2y^2-4x+1...

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  4. Find the equation of the tangents to 9x^2+16y^2=144 , which makes equa...

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  5. Find the co-ordinates for the points on the ellipse x^2+3y^2+37 at whi...

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  6. Find the value of k if 4x+y+k=0 is a tangent to the ellipse x^2+3y^2=3...

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  7. Find the condition for the line x cos alpha+y sin alpha=p to be a tang...

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  8. Find the equations of tangent and normal to the ellipse 2x^2+3y^2=11 a...

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  9. Find the equation to the tangents to the ellipse , x^2+2y^2+3 drawn fr...

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  10. Find the equations of tangents to the ellipse 2x^2+y^2=8 which are P...

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  11. Find the equations of tangents to the ellipse 2x^2+y^2=8 which are p...

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  12. Find the equations of tangents to the ellipse 2x^2+y^2=8 which are w...

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  13. A circle of radius 4, is concentric with the ellipse 3x^2+13y^2=78. Pr...

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  14. Show that the foot of the perpendicular drawn from the centre on any t...

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  15. Show that the locus of the feet of the perpendiculars drawn from foci ...

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  16. The tangent and normal to the ellipse x^2+4y^2=4 at a point (theta) o...

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