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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
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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 equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the p...

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  5. The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

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  6. The normal to the ellipse x^(2)+4 y^(2)=20 at the point (4,-1) is give...

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  7. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

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  8. The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 a...

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  9. Equation of the normal to the ellipse x^(2)+2 y^(2)=4at the point ((pi...

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  10. The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

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  11. The tangent of the ellipse x^(2)+5 y^(2)=14 at (3,-1) is given by

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  12. If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p...

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  13. The tangent making an angle 60^(circ) with the major axis and touching...

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  14. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

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  15. The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

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  16. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  17. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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

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