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Sum of the focal distance of the ellipse...

Sum of the focal distance of the ellipse `(x^2)/(a^2) + (y^2)/(b^2) = 1` is

A

2b

B

2a

C

2ab

D

a+b

Text Solution

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The correct Answer is:
B
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Prove that the chord of contact of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with respect to any point on the directrix is a focal chord.

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NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - ELLIPSE
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  9. The radius of the circle passing throgh the foci of the ellipse (x^2)/...

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  10. The eccentricity of an ellipse with its centre at the origin is 1/2. I...

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  11. The maximum area of an isosceles triangle inscribed in the ellipse (x^...

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  12. The ellipse with foci at (0,1) , (0,4) and one vertex at the origin is

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  13. The euqaiton of the conic with focus (2,-1) directrix x - y = 0 and ec...

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

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  15. Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

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  16. S and T are the foci of an ellipse and B is an end point of the minor ...

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  18. The centre of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0

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