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The number of real tangents that can be ...

The number of real tangents that can be drawn to the ellipse `3 x^(2)+5 y^(2)=32` and `25 x^(2)+9 y^(2)=450` passing through `(3,5)` is

A

0

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Equation of the ellipse is (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with foci...

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  19. If e(1) is the eccentricity of ellipse(x^(2))/(a^(2))+(y^(2))/(b^(2))=...

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

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