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If tangents are drawn from any point on the circle `x^(2) + y^(2) = 25` the ellipse `(x^(2))/(16) + (y^(2))/(9) =1` then the angle between the tangents is

A

`sqrt5/4`

B

`sqrt5/3`

C

`sqrt7/4`

D

`sqrt7/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
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  5. the equation of the chord of contact of the pair of tangents drawn to ...

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

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

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

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

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  14. A circle has the same center as an ellipse and passes through the foci...

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  15. The area of the rectangle formed by the perpendiculars from the centre...

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  16. An ellipse is inscribed in a circle and a point within the circle is c...

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  17. An ellipse slides between two perpendicular straight lines. Then id...

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  18. The length of the chord of the ellipse x^2/25+y^2/16=1 where mid poi...

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  19. The equation of the locus of the middle point of the portion of the ta...

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  20. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

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