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If the tangent at the point (4 cos theta...

If the tangent at the point `(4 cos theta, (16)/(sqrt(11)) sin theta)` to the ellipse `16x^(2) + 11y^(2) = 256` is also a tangent to the circle `x^(2) + y^(2) - 2x - 15 = 0`, then the value of `theta`, is

A

`pm pi//2`

B

`pm pi//4`

C

`pm pi//3`

D

`pm pi//6`

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

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  2. In an ellipse the distance between the foci is 8 and the distance betw...

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  3. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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  4. If P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are...

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  5. An ellipse is described by using an endless string which is passed ove...

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  6. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

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  7. The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b...

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  8. If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6, them c^(...

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  9. Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with ...

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  10. The ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the straight line y=mx+c int...

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  11. Let E be the ellipse x^(2)/9 + y^(2)/4 = 1 and C be the circle x^(2) +...

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  12. Equation of the ellipse with accentricity 1/2 and foci at (pm 1, 0), i...

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  13. If B and B' are the ends of minor axis and S and S' are the foci of th...

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  14. The length of the axes of the conic 9x^(2) + 4y^(2) -6x+ 4y + 1 = 0, a...

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  15. If the normal at any given point P on the ellipse x^(2)/a^(2) + y^(2)/...

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  16. If the curves x^(2) + 4y^(2) = 4, x^(2) + a^(2) y^(2) = a^(2) for suit...

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  17. If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^...

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  18. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

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  19. If the length of the semi-major axis of an ellipse is 68 and e = 1/2, ...

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  20. If the tangent at the point (4 cos theta, (16)/(sqrt(11)) sin theta) t...

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