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if the tangent at the point (4 cos p...

if the tangent at the point `(4 cos phi , (16)/(sqrt(11) )sin phi )` to the ellipse `16x^(2)+11y^(2) =256` Is also a tangent to the circle `x^(2) +y^(2)-2x=15,` then the value of `phi` is

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If the tangent at the point (4 cos theta, (16)/(sqrt(11)) sin theta) to the ellipse 16x^(2) + 11y^(2) = 256 is also a tangent to the circle x^(2) + y^(2) - 2x - 15 = 0 , then the value of theta , is

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FIITJEE-ELLIPSE-SOLVED PROBLEMS (OBJECTIVE)
  1. A point P on the ellipse (x^(2))/(2)+(y^(2))/(1)=1 is at distance of ...

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  2. If PQR is an equilateral triangle inscribed in the auxiliary circle of...

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  3. The minimum area of triangle formed by the tangent to the ellipse (x^2...

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  4. If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1...

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  5. The equation of common tangents to the ellipse x^(2)+2y^(2)=1 and the...

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  6. A tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is normal t...

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  7. Find the equation of the ellipse with eccentricity 3/4, foci on the y-...

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  8. The centre of the ellipse 3x^(2)+4y^(2)-128y+4=0 is

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  9. A square is inscribed inside the ellipsex^2/a^2+y^2/b^2=1, the length ...

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  10. Consider the ellipse x^2/3 + y^2/1 = 1. Let P,Q,R,S be four points on ...

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  11. The value of a for which (13x-1)^(2)+(13y-2)^(2)=(a^(2)-1)(5x+12y-1)^(...

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  12. The tangents from which of the following points to the ellipse 5x^(2)+...

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  13. For the ellipse ((x+y-1)^(2))/(9)+((x-y+2)^(2))/(4)=1 the end of major...

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  14. AB and CD are two equal and parallel chords of the ellipse (x^(2))/(a^...

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  15. If x=k is the equqtion of a common tangent to the curves 9x^(2)+16y^(...

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  16. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

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  17. Number of normals that can be drawn through the point (0,(1)/(2)) to t...

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  18. An ellipse has a centre at (1-1), and semimajor axis =8 and which pass...

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