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An ellipse has the points (1, -1) and (2...

An ellipse has the points `(1, -1) and (2,-1)` as its foci and `x + y = 5` as one of its tangent then the value of `a^2+b^2` where `a,b` are the lenghta of semi major and minor axes of ellipse respectively is :

A

`(41)/(2)`

B

10

C

19

D

`(81)/(4)`

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The correct Answer is:
D
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FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
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  2. The locus of focus of ellipse with length of major axis 2a and minor a...

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  3. Tangents at right angle are drawn to the ellipse x^(2)/a^(2)+y^(2)/b^(...

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  4. Find the range of eccentricity of the ellipse x^2/a^2+y^2/b^2=1, (wher...

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  5. An ellipse has the points (1, -1) and (2,-1) as its foci and x + y = 5...

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  6. Normal at any pint on the ellipse 9x^(2)+16^(2)=144 meets the co-ordin...

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  7. The length of perpendicular from the foci S and S on any tangent to e...

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  8. If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) represents an ellipse with major a...

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  9. If pair of tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

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  10. An ellipse has directrix x+y=-2 focus at (3,4) eccentricity =1//2, the...

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  11. An figure given below consisting of two equal and externally tangent c...

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  12. The length of the sides of the square which can be made by four perpen...

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

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  14. If the difference of the accentric angles of two points P and Q on the...

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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. The equation of normal to the ellipse x^(2)+4y^(2)=9 at the point wher...

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  17. Line segment AK(1), K(2)....... AK(n) are drawn from A(1,1) where K(1)...

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  18. If 'd' be the length of perpendicular drawn from origin to any normal ...

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  19. Statement-1 : The condition on a and b for which two distinct chords o...

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  20. The tangent at a point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

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