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A common tangent to the circle x^(2) +y...

A common tangent to the circle `x^(2) +y^(2) =16` and an ellipse ` (x^(2) )/( 49) +(y^(2))/( 4) = 1 ` is

A

` y= x+ sqrt(45) `

B

` y= x +sqrt(53) `

C

` sqrt(11) y =2x + 4`

D

` sqrt(11) y= 2x+ 4 sqrt( 15) `

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The correct Answer is:
D
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
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  3. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

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  4. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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