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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 `[4,5]` (b) `(-oo,2)uu(3,oo)` `(-oo,0)` (d) `[2,3]`

A

[4,5]

B

`(-oo,2)uu(3,oo)`

C

`(-oo,0)`

D

[2,3]

Text Solution

Verified by Experts

For the two ellipse to intersect a four distinct point `agt1`
`:. b^(2)-5b+7gt`
`or b^(2)-5b+6gt0`
or `b in (-oo,2)uu(3,oo)`
Therefore, b does not lie in [2,3]
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