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Let P be a variable point on the ellipse...

Let P be a variable point on the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` with foci `S_(1)andS_(2)`. If A be the area of the triangle `PS_(1)S_(2)`, then the maximum value of A is :

A

ab

B

abe

C

e

D

None of these

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The correct Answer is:
B
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MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
  1. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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

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  3. the equation of the circle passing through the foci of the ellip...

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

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

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

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

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  8. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

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  9. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

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

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

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

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  13. A man running around a race course notes that the sum of the distances...

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

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

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

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

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

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

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

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