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P is a variable on the ellipse (x^2)/...

`P` is a variable on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` with `AA '` as the major axis. Find the maximum area of triangle `A P A '`

A

`(1)/(2)ab`

B

2ab

C

ab

D

none of these

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
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  2. the equation of the circle passing through the foci of the ellip...

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  3. P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with AA ' ...

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  5. If a tangent of slope m' at a point of the ellipse passes through (2a,...

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  6. The normal at an end of a latus rectum of the ellipse x^2/a^2 + y^2/b^...

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  9. An ellipse has OB as a semi-minor axis. S(1),S(2) are its foci and the...

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  10. The equation of the auxiliary circle of the ellipse : 9x^(2)+4y^(2)-...

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  11. The equation of the director circle of the ellipse x^(2)+2y^(2)+2x-12y...

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  13. If the focal distance of an end of the minor axis of an ellipse (re...

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  14. A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...

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  15. If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...

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  16. If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...

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  17. If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...

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  18. S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...

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  19. Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...

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  20. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

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