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On the ellipse 4x^(2)+9y^(2)=1, the poin...

On the ellipse `4x^(2)+9y^(2)=1`, the points at which the tangent are parallel to the line `8x=9y` are

A

(2/5,1/5)

B

(-2/5, 1/5)

C

(-2/5 , -1/5)

D

none of these

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-ELLIPSE-Exercise (Level 1 Single Correct)
  1. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangent are pa...

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  2. The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

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  3. The distance of the point (sqrt6 cos theta , sqrt2 sin theta) on the ...

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  4. An equation of the normal to the ellipse x^2//a^2+y^2//b^2=1 with ecce...

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  5. The circle x^2+y^2=c^2 contains the ellipse x^2/a^2+y^2/b^2=1 if

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  6. In an ellipse, if the lines joining focus to the extremities of the mi...

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  7. An equilateral triangle is inscribed in the ellipse x^2+3y^2=3 such t...

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  8. If the equation x^2/(10-2a)+y^2/(4-2a)=1 represents an ellipse , then ...

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  9. The curve represented by x = 3 (cos t + sin t), y = 4 (cos t- sin t) i...

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  10. The eccentricity of an ellipse, with centre at the origin is 2/3. If o...

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  11. The locus of the foot of the perpendicular from the foci an any tangen...

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  12. If the ellipse x^2/a^2+y^2/b^2=1 and the circle x^2+y^2=r^2 where bltr...

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  13. The product of the perpendiculars from the foci of the ellipse x^2/14...

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  14. The locus of the foot of the perpendicular drawn from the centre on an...

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  15. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

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  16. Chord of the ellipse x^2/25+y^2/16=1 whose middle point is (1/2, 2/5) ...

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  17. If one extremity of the minor axis of the ellipse x^2/a^2+y^2/b^2=1 a...

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  18. The length of the major axis of the ellipse (5x-10)^2 +(5y+13)^2 = (3x...

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  19. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

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  20. Let P be any point on a directrix of an ellipse of eccentricity e, S b...

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