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Tangents are drawn to the ellipse (x^(2)...

Tangents are drawn to the ellipse `(x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a+ b ` at the points where it is cut by the line `(x)/(a^(2)) cos theta - ( y)/(b^(2)) sin theta =1 ` , then the point of intersection of Tangents

A

` {( a+b) cos theta )" " - ( a+b) sin theta} `

B

` { ( a-b ) cos theta " " -(a-b )sintheta } `

C

` { (a+ b) sin theta " " - ( a+b) cos theta } `

D

` {( a+b) cos theta " " -(a-b)sin theta }`

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The correct Answer is:
A
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Statement 1: An equation of a common tangent to the parabola y^(2) =16...

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  16. The equation of the circle passing through the foci of the ellipse (x^...

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  17. The locus of the foot of perpandicular drawn from the centre of the e...

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  18. If and c are positive real number and the ellipse (x^(2))/( 4c^(2)) +...

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  19. Let the equation of two ellipse be E1:( x^(2))/( 3)+ ( y^(2))/( 2) =1 ...

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  20. If the curves (x^(2))/(alpha)+(y^(2))/(4)=1 and y^(3)=16x intresect a...

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