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A circle of radius 5/sqrt2 is concentric...

A circle of radius `5/sqrt2` is concentric with the ellipse `x^(2)/16+y^(2)/9=1`, then the acute angle made by the common tangent with the line `sqrt3x-y+6=0` is

A

`pi/3`

B

`pi/4`

C

`pi/6`

D

`pi/12`

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Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
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  2. S and T are the foci of the ellipse x^2/a^2+y^2/b^2 = 1 and B is an en...

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  3. A circle of radius 5/sqrt2 is concentric with the ellipse x^(2)/16+y^(...

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  4. Consider the particle travelling clockwise on the elliptical path x^2/...

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  7. If a=[t^(2)-3t+4] and b=[3+5t], where [.] donates the greatest integer...

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  8. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  9. An arc of a bridge is semi-elliptical with the major axis horizonta...

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

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  11. If tangents are drawn from any point on the circle x^(2) + y^(2) = 25...

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  12. the equation of the chord of contact of the pair of tangents drawn to ...

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  13. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

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  14. The point on the ellipse x^2 + 2y^2 = 6 closest to the line x + y = 7 ...

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  15. From a point on the axis of x common tangents are drawn to the parabol...

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  16. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

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  17. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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  18. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

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  19. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

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  20. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

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