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If S(1) and S(2) are the foci of (x^(2))...

If `S_(1)` and `S_(2)` are the foci of `(x^(2))/(25)+(y^(2))/(16)=1` and` P`is any point on it, then the maximum area of the triangle `P S_(1) S_(2)` is

A

`12 sq. units`

B

` 15 (sq). units`

C

`25 (sq). units`

D

`16 (sq). units`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. If e(1) is the eccentricity of ellipse(x^(2))/(a^(2))+(y^(2))/(b^(2))=...

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  3. If S(1) and S(2) are the foci of (x^(2))/(25)+(y^(2))/(16)=1 and Pis a...

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  4. C is the centre of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 and S is on...

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  6. The product of the perpendiculars from the foci of the ellipse (x^(2))...

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  7. If P is any point on the ellipse 16 x^(2)+25 y^(2)=400 then P S(1)+P S...

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  10. Equation of the auxilary circle of the ellipse 3 x^(2)+4 y^(2)+6 x+16 ...

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  11. Length of the latus rectum of the ellipse 2 x^(2)+y^(2)-8 x+2 y+7=0 is

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  12. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

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  13. The locus of the point which moves such that sum of its distance from ...

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  14. If S(1) and S(2) are the foci of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and...

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  15. If the tangents drawn from a point (1,2 sqrt(3)) to the ellipse (x^(2)...

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  16. If e(1) and e(2) are eccentricities of the ellipse (x^(2))/(18)+(y^(2)...

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  18. The tangent to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 at the end of t...

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