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Statement-I : The sum of the slopes of t...

Statement-I : The sum of the slopes of the tangents drawn from (5,4) to `(x^(2))/(16)+(y^(2))/(12) = 1` is `40/9`
Statement-II :The product of the slopes in the `4/9` Which of the above statements is true

A

only I

B

only II

C

both I & II

D

neither I nor II

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

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  2. The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(...

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  3. Statement-I : The sum of the slopes of the tangents drawn from (5,4) ...

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  4. C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...

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  5. Statement-I : The distance of the normal to x^(2) + 2y^(2) = 5 at (1,s...

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  6. The product of the perpendicular distances drawn from the foci to any ...

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  7. The angle between the tangents drawn from the point (1,2) to the ellip...

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

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

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

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

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

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

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

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

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

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

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

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

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