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If the tangents drawn from a point `(1,2 sqrt(3))` to the ellipse `(x^(2))/(9)+(y^(2))/(b^(2))=1` are at right angles then `b`=

A

1

B

4

C

2

D

3

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. If S(1) and S(2) are the foci of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and...

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

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  5. The tangents at the ends of the latus rectum L S(1) L^(prime) of the e...

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

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  7. Area of the quadrilateral formed by the tangents at the ends of latus ...

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  8. The eceentricity of the ellipse whose axes are the coordinate axes and...

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  9. Area of the greatest rectangle that can be inseribed in the ellipse (x...

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  10. Find the equation of the ellipse whose centre is at the origin and maj...

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  12. The length of the latus rectum of the ellipse 3 x^(2)+4y^(2)=12 is

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

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  15. The length of the latus rectum of the ellipse 49 x^(2)+64 y^(2)=3136

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  16. The P is any point on the ellipse 4 x^(2)+16 y^(2)=64 whose foci are S...

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  17. The product of the perpendiculars from the foci on any tangent to the ...

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  18. Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 ...

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  19. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

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  20. The centre of the ellipse 9 x^(2)+5 y^(2)-36 x-50 y+116=0 is

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