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The locus of foot of perpendicular from ...

The locus of foot of perpendicular from focus of ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` to its tangents is

A

`x^(2)+y^(2)=a^(2)+b^(2)`

B

`x^(2)+y^(2)=a^(2)`

C

`x^(2)+y^(2)=(a+b)^(2)`

D

none of these

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The correct Answer is:
B
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FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. If alpha, beta are the eccentric angles of the extermities of a focal ...

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  2. Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(...

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  3. The locus of foot of perpendicular from focus of ellipse (x^(2))/(a^(2...

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  4. The length of common chord of ellipse ((x-10)^(2))/(100)+((y-21)^(2))/...

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  5. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

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  6. Two perpendicular to S intersect at Q, then |OQ| is equal to (O being ...

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  7. The minimum value of {(r+5 -4|cos theta|)^(2) +(r-3|sin theta|)^(2)} A...

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  8. The locus of focus of ellipse with length of major axis 2a and minor a...

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

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

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

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

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

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

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

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

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

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

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

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

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