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If the line l x+m y+n=0 cuts the elli...

If the line `l x+m y+n=0` cuts the ellipse `((x^2)/(a^2))+((y^2)/(b^2))=1` at points whose eccentric angles differ by `pi/2,` then find the value of `(a^2l^2+b^2m^2)/(n^2)` .

A

`a^2m^2+b^2l^2=n^2`

B

`a^2l^2+b^2m^2=2n^2`

C

`a^2l^2+b^2m^2=n^2`

D

`a^2m^2-b^2l^2=n^2`

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
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  6. The locus of the foot of the perpendicular from the foci an any tangen...

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  7. Show that the tangents drawn at those points of the ellipse (x^(2))/(a...

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  8. Let the two foci of an ellipse be (-1, 0) and (3, 4) and the foot of p...

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  9. Let the two foci of an ellipse be (-1,0) and (3,4) and the foot of per...

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  15. Find the middle point of the chord intercepted on the line 2x-y+3 =0 b...

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  16. Find the locus of the mid point of chords of the ellipse x^(2)/a^(2)+y...

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