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Eccentric angle of a point on the ellips...

Eccentric angle of a point on the ellipse `x^(2)+3 y^(2)=6` at a distance `2`units from the centre of the ellipse is

A

`(pi)/(4) or (3 pi)/(4)`

B

`(pi)/(3) or (2 pi)/(3)`

C

`(pi)/(6) or (5 pi)/(6)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  3. Eccentric angle of a point on the ellipse x^(2)+3 y^(2)=6 at a distanc...

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  4. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

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  5. The distance of the point theta^(prime) on the ellipse (x^(2))/(a^(2)...

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  6. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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  7. The number of tangents from (4,7) to the ellipse (x^(2))/(16)+(y^(2))/...

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  8. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

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  9. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

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  10. The length of the major axis is three times the length of minor axis, ...

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

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  12. The equation of the locus of the middle point of the portion of the ta...

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  13. If sqrt(3) b x+a y=2 a b is a tangent to the ellipse (x^(2))/(a^(2))+(...

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

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  15. Locus of the point of intersection of the tangent at the ends of focal...

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  16. The equation of a common tangent to the circle x^(2)+y^(2)=16 and the ...

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  17. . If P Q andP R are the tangents from P to the ellipse (x^(2))/(2)+y^(...

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

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  19. Circles are described on the major axis and on the line joining the fo...

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  20. Normal at one end of the latus rectum of the ellipse (x^(2))/(a^(2))+(...

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