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If p and q are the segments of a focal c...

If `p` and `q` are the segments of a focal chord of an ellipse `b^2x^2+a^2y^2=a^2b^2` then

A

`a^(2)(p+q)= 2bpq`

B

`b^(2)(p+q)=2apq`

C

`a(p+q)=2b^(2)pq`

D

`b(p+q)=2a^(2)pq`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
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  2. If the polar with respect to y^2 = 4ax touches the ellipse x^2/alpha^2...

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  3. If p and q are the segments of a focal chord of an ellipse b^2x^2+a^2y...

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  4. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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  6. iger P(theta) and Q(pi/2 +theta) are two points on the ellipse x^2/a^2...

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  7. the equation of the circle passing through the foci of the ellip...

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  8. the centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 , i...

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  10. S and T are foci of an ellipse and B is an end of the minor a...

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  11. the length of the latusrectum of an ellipse is one thrid of its...

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  12. if the major axis of an ellipse is three times the length ...

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  13. the distance between the foci of the ellipse 5x^(2)+9y^(2)=45, is

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  14. the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/...

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  15. The co-ordinates of a focus of an ellipse is (4,0) and its eccentricit...

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  16. the equation of the ellipse passing through (2,1) having e=1/2...

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  17. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

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  18. In an ellipse the distance between the foci is 8 and the distance betw...

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  19. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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