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The ellipse x^2+""4y^2=""4 is inscribed ...

The ellipse `x^2+""4y^2=""4` is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is (1) `x^2+""16 y^2=""16` (2) `x^2+""12 y^2=""16` (3) `4x^2+""48 y^2=""48` (4) `4x^2+""64 y^2=""48`

A

`x ^(2) +16 y ^(2) =16`

B

`x ^(2) + 12 y ^(2) =16`

C

`4x ^(2) + 48y ^(2) =48`

D

`4x ^(2) +64 y ^(2)=48`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-CIRCLE AND CONICS -EVALUATION TEST
  1. Tht line L passes through the points f intersection of the circles x ^...

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

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

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

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

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

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

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

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

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

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

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

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  13. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

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  14. For each point (a,y) on an ellipse, the sum of the distances from (x,y...

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  15. The line passing through the extremity A of the major exis and extremi...

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  16. In an ellipse, if the lines joining focus to the extremities of the mi...

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  17. If the area of the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) +...

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  18. If A and B are two fixed points and P is a variable point such that P...

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  19. If A and B are two fixed points and P is a variable point such that P...

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  20. If the line y = 7x - 25 meets the circle x^(2) + y^(2) = 25 in the poi...

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