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If the ellipse (x^2)/4+y^2=1 meets the e...

If the ellipse `(x^2)/4+y^2=1` meets the ellipse `x^2+(y^2)/(a^2)=1` at four distinct points and `a=b^2-5b+7,` then `b` does not lie in
(a) `[4,5]` `" "` (b) `(-oo,2)uu(3,oo)` `" "`(c) `(-oo,0)` `" "`(d) `[2,3]`

A

(1,4)

B

`(-infty,2)cup(3,infty)`

C

`(2,3)`

D

None of these

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The correct Answer is:
B
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ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

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  2. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

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  3. Find the 17^(th) term in the following sequence whose n^(th) term is a...

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  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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

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  6. Find the 9^(th) term in the following sequence whose n^(th) term is an...

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  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

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  8. The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find...

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  9. Is 309 a term of the AP 11, 17, 23….?

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

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

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

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

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

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

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  16. Find the equation of an ellipse whose axes lie along the coordinate ...

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

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

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

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

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

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