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Find the equation of an ellipse whose ec...

Find the equation of an ellipse whose eccentricity is 2/3, the latus rectum is 5 and the centre is at the origin.

A

`(x^(2))/(81) + (y^(2))/(45) =1`

B

`(4x ^(2))/(81)+ (4y^(2))/(45) =1`

C

`(x ^(2))/(9) + (y^(2))/(5) =1`

D

`(x ^(2))/(81) + (y ^(2))/(45) =5`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-CIRCLE AND CONICS -EVALUATION TEST
  1. Find the equation of an ellipse whose eccentricity is 2/3, the latus ...

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  2. The equation of a circle with origin as centre and passing through the...

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  3. If one end of the diameter is (1, 1) and the other end lies on the lin...

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  4. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  5. The abscissa of two points A and B are the roots of the equation x ^(2...

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  6. A circle is inscribed in an equilateral triangle of side a. The area o...

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  7. On the parabola y = x^(2), the point least distance from the straight ...

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  8. The equation of a circle passing through the vertex and the extremites...

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  9. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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  10. Tht line L passes through the points f intersection of the circles x ^...

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  11. the equation of the circle passing through the foci of the ellip...

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  12. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

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  13. An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 ...

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  14. The circle x^2 +y^2=4x+8y+ 5 intersects the line 3x-4y= m at two disti...

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  15. Three distinct points A, B and C are given in the 2-dimensional coordi...

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  16. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  17. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

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  18. The sum of the minimum distance and the maximum distnace from the poin...

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  19. Let f(x,y) =0 be the equation of a circle. If f (0, lamda)=0 has equal...

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  20. The distance between the vertex of the parabola y = x^2 - 4x + 3 and...

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  21. Let a circle touches to the directrix of a parabola y ^(2) = 2ax has i...

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