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The points (1, -1) and (2, - 1) are the ...

The points `(1, -1)` and `(2, - 1) `are the foci of an ellipse and the line `x + y = 5` is a tangent to this ellipse. The point of contact of the tangent is

A

`(34/9 , 11/9)`

B

`(32/9, 13/9)`

C

`(-34/9, 79/9)`

D

`(-32/9, 77/9)`

Text Solution

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The correct Answer is:
A
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ML KHANNA-THE ELLIPSE-PROBLEM SET (2) (Multiple Choice Questions)
  1. The sum of the squares of the perpendiculars on any tangents to the ...

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  2. The product of the perpendiculars drawn from the two foci of an ellips...

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  3. The points (1, -1) and (2, - 1) are the foci of an ellipse and the lin...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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