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If the chords of contact of `P(x_(1),y_(1))` and `Q(x_(2)_,y_(2))` w.r.t the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` are right angle then `(x_(1)x_(2))/(y_(1)y_(2))` =

A

`(a^(2))/(b^(2))`

B

`(-b^(2))/(a^(2))`

C

`(-a^(4))/(b^(4))`

D

`(-b^(4))/(a^(4))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-II
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  2. The angle between the tangents drawn from the point (1,2) to the ellip...

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  3. If the chords of contact of P(x(1),y(1)) and Q(x(2),y(2)) w.r.t the el...

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  4. The mid point of the chord 2x+5y=12 of the ellipse 4x^(2) + 5y^(2) = 2...

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  5. If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2) = 20 in ...

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  6. The midpoint of a chord of the ellipse x^(2)+4y^(2)-2x+20y=0 is (2, -4...

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  7. The ratio of the ordinates of a point and its .corresponding point is(...

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  8. If the extremities of a focal chord are (5pi)/(12) and (pi)/(12) then...

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  9. If alpha,beta are the ends of a focal chord of the ellipse (x^(2))/(a^...

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  10. If the chord joining two points whose eccentric angles are alpha and ...

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  11. If tan theta(1) tan theta(2) =-(a^(2))/(b^(2)) then the chord join...

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  12. The tangent at 'p' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cu...

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  13. P(theta) and D(theta+(pi)/(2)) are the points on the ellipse with c...

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  14. The area of the parallelogram formed by the tangents at the points who...

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  15. The area of the parallelogram formed by the tangents at the points who...

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  16. If PSQ is a focal chord then match the ellipse with the value of (1)/...

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  17. A man running round a race course note that the sum of the distances o...

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  18. The locus of point of intersection of lines (xt)/(a)-(y)/(b)+t=0 and (...

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  19. A line of fixed length a + b moves so that its ends are always on two ...

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  20. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

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