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An ellipse , centred at the origin , has...

An ellipse , centred at the origin , has eccentricity `1/2` and one directrix d :x = 16 . If P : x = - 4 is a point on this ellipse , then SP =

A

8

B

9

C

10

D

-32

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If a chord P(theta) Q(phi) of an ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

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  2. If P (theta) is a point on the ellipse E (a gt b) , whose foci are...

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  3. An ellipse , centred at the origin , has eccentricity 1/2 and one dire...

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  4. If distance between foci of an ellipse equals its latus-rectrum , then...

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  5. Find the sum of the focal distances of any point on the ellipse 9x^...

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  6. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

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  7. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

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  8. In an ellipse, the distances between its foci is 6 and minor axis is 8...

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  9. For the ellipse 25x^(2) + 45y^(2) = 9,

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  10. S and T are foci of an ellipse and B is an end of the minor a...

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  11. Any point whose x and y co-ordinates satisfy the equations (1 - (x/...

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  12. Given A -= (0,-1) " and " B = (0,1) . If P (x,y) is a point satisfyi...

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  13. For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two ...

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  14. If the equation (x^(2))/(16 -K) + (y^(2))/(5-K) = 1 represents an ell...

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  15. Perimeter of a triangle formed by any point on the ellipse (x^(2))/...

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  16. If P is any point on the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 whose...

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  17. If a^(2) + b^(2) = 25 and a focus of the ellipse (x^(2))/(a^(2) ...

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  18. S and T are foci of an ellipse and B is an end of the minor a...

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  19. If the lines joining the foci of an ellipse to an end of its minor axi...

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  20. P and Q are two points on ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =...

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