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The locus of the mid points of the norma...

The locus of the mid points of the normal chords of `( x^(2) ) /(a^(2)) +(y^(2))/( b^(2)) = 1 ` is

A

A) ` ((x^(2) )/( a^(2))+(y^(2))/( b^(2)) ) ((x^(6))/( a^(2)) +(y^(6))/( b^(2))) =( a^(2) -b^(2))^(2) `

B

B) ` ((x^(2) )/(a^(2))+(y^(2))/(b^(2))) ((x^(6) )/(a^(2)) -( y^(6))/( b^(2)))= ( a^(2) - b^(2))^(2) `

C

C) ` ((a^(6)) /(x^(2))+(b^6)/( y^(2)) ) ((x^(2) )/( a^(2))+(y^(2))/( b^(2)))=(a^(2) -b^(2)) ^(2)`

D

D) ` ((x^(2))/( a^(2))+(y^(2))/( b^(2)))^(2) ((a^(6) )/( x^(2))+(b^(6))/( y^(2)))=(a^(2) - b^(2))^(2) `

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The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

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  2. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

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  3. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

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  4. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

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  5. The locus of the foot of the perpendicular drawn from the centre of th...

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  6. The locus of the mid points of parallel chords of an ellipse is a strr...

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  7. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

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  8. A point moves such that the distance from the point (2,0) is always 1...

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  9. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

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  10. The nature of inter cepts made on the axes by the tangent at the point...

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  11. If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(...

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  12. Angle substended by common tangents of two ellipse 4( x-4) ^(2) +25y^(...

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  13. The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the rea...

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  14. If S and S' are the foci of the ellipse (x^(2))/( 25)+ ( y^(2))/( 16) ...

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  15. If a tangent of slope 2 of the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^...

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  16. Statement 1: In a triangle ABC , If base BC is fixed and perimeter of ...

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  17. An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 ...

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  18. Statement 1: In an ellipse the sum of the distances between foci is al...

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  19. Statement 1: Any chord of the conic x^(2) +y^(2) +xy = 1 through (0,0...

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  20. Statement 1: The area of the ellipse 2x^(2) +3y^(2) =6 is more than t...

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