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The sum of the focal distances of any po...

The sum of the focal distances of any point on the conic `16x^(2) + 25 y ^(2)=400` is-

A

8

B

4

C

10

D

5

Text Solution

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The correct Answer is:
C
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The sum of the focal distances of any point on the ellipse 4x^(2) + 25y = 100 is_

Find the sum of the focal distance of any point on the ellipse 9x^(2) +25y^(2) = 225 .

Find the sum of the focal distances of any point on the ellipse 9x^2+16 y^2=144.

Show that the difference of the focal distances of any point on the hyperbola 9x^(2) - 16y^(2) = 144 is equal to its transverse axis.

Find the eccentricity and the equation of directix of the ellipse x^2/100+y^2/36=1 Show that the sum of the focal distances at any point on the ellipse x^2/100+y^2/36=1 is constant.

Show that the difference of focal distances of any point of the hyperbola 3x^(2) - 4y^(2) = 48 is constant.

Find the foii of the conic (x^(2))/(100)+(y^(2))/(36) = 1 . Hence show that , the sum of the distances from any point on the conic to its focii is 20 units .

Show that the difference of the focal distances of any point on the hyperbola 9x^2-4y^2 = 36 is equal to its transverse axis.

The sum of the distances of a moving point from the points (3,0) and (-3,0) is always equal to 12 . Find the equation to the locus and identify the conic represented by the equation.

Find the eccentricity and equations of the directrices of the ellipse (x^(2))/(100) + (y^(2))/ (36) = 1 . Show that the sum of the focal distances of any point on this ellipse is constant .

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. The sides of a triangle are 3x+4y, 4x +3y and 5x +5y where, x, y gt 0,...

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  2. The triangle formed by joining the points (x,y,z), (y,z,x) and (z,x,y)...

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  3. The sum of the focal distances of any point on the conic 16x^(2) + 25 ...

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  4. Without rotation of axes if the origin is shifted to the point ((ab)/(...

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  5. The distance between the lines 5x+3y =7 and 15 x +9y +14=0 is-

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  6. The ratio in which he line-segment joining the points (p,q,r) and (-p,...

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  7. The centre of a circel is at (2, -3) and its circumference is 10pi, th...

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  8. If two circles (x-1) ^(2) + (y-3) ^(2) =r^(2)and x ^(2) +y^(2) -8x +2y...

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  9. The lines ax+by+c=0, bx+cy+a =0, cx+ay+b =0 are concurrent when-

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  10. If (at^(2) , 2at) be the coordinate of an extremity of a focal chord o...

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  11. Let L be the end of a latus rectum of the ellipse 2x^(2) +4y^(2) =1 an...

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  12. 36 candidates appeared for an examination, 15 candidates passed I math...

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  13. If n(A) =4, n(B)=3 and n(Axx B xxC)=24, then the value of n(C ) is-

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  14. Two finite sets A and B are having m and n elements.The total number o...

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  15. Let R = {(3,3)}, (6,6) , (9,9) ,(12,12), (6,12),(3,9), (3,12), (3,6)},...

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  16. The equation of the hyperbola having its eccentricity 2 and the distan...

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  17. y(1) and y(2) and y(3) are the ordinates of three points on the parabo...

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  18. Let A ={-3, -2, -1, 0,1,2} and ZZ be the set of integers. If f: A to Z...

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  19. Total number of relation that can be defined on set A = {1,2,3,4,5} is...

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  20. If f2f(x) +3f (-x) =x^(2) -x+1, then the value of f'(1) is-

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