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The slopes of the tangents drawn from (4...

The slopes of the tangents drawn from (4, 1) to the ellipse `x^(2)+2y^(2)=6` are

A

`1,1//5`

B

`-1,-1//5`

C

`-1,1//5`

D

`1,-1//5`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. In an ellipse the distance between the foci is 6 and it's minor axis i...

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  2. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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