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The point P on the ellipse 4x^2+9y^2=36 ...

The point P on the ellipse `4x^2+9y^2=36` is such that the are of the ` P F_1F_2=sqrt(10)` where `F_1,f_2` are foci. Then P has the coordinates `(3/(sqrt(2)),sqrt(2))` (b) `(3/2,2)` `(-3/2,-2)` (d) `(-3/(sqrt(2))-sqrt(2))`

A

`((3)/(sqrt(2)),sqrt(2))`

B

`((3)/(2),2)`

C

`((-3)/(2),-2)`

D

`((-3)/(sqrt(2)),- sqrt(2))`

Text Solution

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The correct Answer is:
A, D
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FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-II)
  1. Foci of ellipse ((x-1)^(2))/(4)+((y-2)^(2))/(9)=1 is/are

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  2. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

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  3. Let F1,F2 be two focii of the ellipse and PT and PN be the tangent and...

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  4. If the normal at any point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

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  5. The maximum and minimum values of p^(2)+q^(2)-14q-6q+57 if p^(2)+4q^(2...

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  6. A set of lines x+y-2+lambda(1)(2x+y-3)=0 represents incident rays on e...

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  7. If the tangent to the ellipse x^2 +4y^2=16 at the point 0 sanormal to ...

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  8. If a tangent of slope1/3 of the ellipse (x^2)/a^2+y^2/b^2=1(a > b) is ...

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

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  10. If the chord, joining two points whose eccentric angles are alpha and ...

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  11. A chord of negative slope from P(sqrt(264),0) is drawn to ellipse x^(2...

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  12. Which of the following lines touch the ellipse 2x^(2)+3y^(2)=1?

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  13. The value of theta which the sum of intercepts co-ordinates axes cut b...

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  14. If latus recturn of the ellipse x^2 tan^2 alpha+y^2 sec^2 alpha= 1 is ...

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  15. Locus of the point of intersection of two perpendicular tangents to an...

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

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  17. Find the co-ordinates of all the points P on the ellipse, x^2/a^2+y^2/...

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  18. The points where the normal to the ellipse x^(2)+3y^(2)=37 is parallel...

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  19. The ecentric angle of the points on the ellipse (x^(2))/(6)+(y^(2))/(2...

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  20. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangent are pa...

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