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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

4

B

1

C

2

D

3

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The equation of a common tangent to the circle x^(2)+y^(2)=16 and the ...

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

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

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

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

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

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

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

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  10. If the eccentricity of the ellipse is (2)/(3), then the ratio of the m...

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

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  12. 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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  13. The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse if

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  14. The equation of the director circle of the ellipse x^(2)+2y^(2)+2x-12y...

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

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

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

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

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

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

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