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An ellipse is drawn by taking a diameter...

An ellipse is drawn by taking a diameter of the circle `(x-1)^2+y^2=1` as its semi-minor axis and a diameter of the circle `x^2+(y-2)^2=4` as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipse is (1) `4x^2+""y^2=""4` (2) `x^2+""4y^2=""8` (3) `4x^2+""y^2=""8` (4) `x^2+""4y^2=""16`

A

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

B

`x^(2)+4y^(2)=8`

C

`4x^(2)+y^(2)=8`

D

`x^(2)+4y^(2)=16`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

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  2. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  3. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

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

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  5. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  6. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  7. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  8. Find the equation of an ellipse hose axes lie along the coordinate ...

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  9. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  10. Statement 1: An equation of a common tangent to the parabola y^2=16s...

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

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

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  13. A vertical line passing through the point (h, 0) intersects the ellips...

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  14. The locus of the foot of prependicular drawn from the center of the el...

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  15. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

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  16. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

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  17. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

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  18. If the tangents to the ellipse at M and N meet at R and the normal to ...

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  19. If the tangents to the ellipse at M and N meet at R and the normal to ...

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  20. The eccentricity of an ellipse whose centre is at the origin is 1/2. I...

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