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Q.

If the ellipse x24+y2=1 meets the ellipse x2+y2a2=1 at four distinct points and a=b25b+7 then 'b' does not lie in 

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a

(- ,0)

b

[4,5]

c

(- ,2)  (3, )

d

[2,3] 
 

answer is D.

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Detailed Solution

a > 1 b2-5b+7>1 b2-5b+6>0 (b-2) (b-3)>0 +     -      +2         3 b(-, 2)(3, )

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If the ellipse x24+y2=1 meets the ellipse x2+y2a2=1 at four distinct points and a=b2–5b+7 then 'b' does not lie in