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The point of contact 8x-9y+5 = 0 with th...

The point of contact 8x-9y+5 = 0 with the ellipse `4x^(2)+9y^(2)=1` is

A

`(2/5,1/5)`

B

`(-2/5,-1/5)`

C

`(-2/5,1/5)`

D

`(2/5,1/5)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

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  2. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

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  3. The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

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  4. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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