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if the tangent at the point (4 cos p...

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

A

`pm pi/2`

B

`pm pi/4`

C

`pm pi/3`

D

`pm pi/6`

Text Solution

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The correct Answer is:
C
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ML KHANNA-THE ELLIPSE-PROBLEM SET (2) (Multiple Choice Questions)
  1. The points (1, -1) and (2, - 1) are the foci of an ellipse and the lin...

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  2. If F1 and F2 be the feet of the perpendiculars from the foci S1 and S2...

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  3. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

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  4. The length of a common tangent to x^2 + y^2 = 16 and 9x^2 + 25y^2 = 22...

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  5. If x/a + y/b = sqrt(2) touches the ellipse (x^2)/(a^2) + (y^2)/(b^2) =...

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  6. If sqrt(3) bx +ay = 2ab touches the ellipse (x^2)/(a^2) + (y^2)/(b^2) ...

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  7. The eccentric angle of a point P lying in the first quadrant on the el...

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  8. If theta is the angle between the pair of tangents drawn to the ellips...

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

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  10. An ellipse slides between two perpendicular lines the locus of ...

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  11. The line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If ...

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  12. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

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  13. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  14. The area of rectangle formed by perpendiculars from the centre of elli...

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  15. If the normal at the point P( theta) to the ellipse (x^(2))/(14)...

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  16. The locus of the mid-points of the portion of the tangents to the elli...

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  17. Tangents are drawn to x^2 + 3y^2 = 2. The locus" of mid-point of inter...

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  18. Tangents are drawn to ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1 at points ...

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  19. The locus of the point of intersection of tangents to an ellipse at tw...

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  20. The eccentric angles of extremities of a chord of an ellipse (x^2)/(a^...

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