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The locus of the point of intersection o...

The locus of the point of intersection of the perpendicular tangents to the ellipse `2x^(2)+3y^(2)=6` is

A

`x^(2)+y^(2)=41`

B

`x^(2)+y^(2)=25`

C

`x^(2)+y^(2)=5`

D

`x^(2)+y^(2)=43`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

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  2. The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2...

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  3. The locus of the point of intersection of the perpendicular tangents t...

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  4. Angle between the tangents drawn from the point (5,4) to the ellipse ...

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  5. The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20...

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  6. The equation to the auxiliary circle of (x^(2))/(7)+(y^(2))/(5)=1 is

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  7. The tangent at any point P on the ellipse meets the tangents at the ve...

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  8. The equation of the normal to the ellipse x^(2)+3y^(2)=144 at the posi...

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  9. The equation of the chord of the ellipse 4x^(2) + 9y^(2)= 36 having (3...

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  10. If p(theta) is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  11. The dist. of a point P on the ellipse (x^(2))/(12)+(y^(2))/(4)=1 from...

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  12. The eccentric angles of the ends of L.R. of the ellipse (x^(2)/(a^(2)...

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  13. P((pi)/(6)) is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 S,S^(...

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  14. The equation of the tangent at the point theta=(pi)/(3) to the ell...

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  15. (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))/(b...

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  16. The equation of the normal to the ellipse (x^(2))/(4)+(y^(2))/(2)=1 at...

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  17. If P is a point on the ellipse of eccentricity e and A, A 1 are the ve...

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  18. P is a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

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  19. If sqrt(3)bx +ay=2ab is a tangent to the ellipse then ecentric angle...

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  20. The locus of mid points of the chords of the ellipse (x^(2))/(a^(2))+...

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