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Q.

 Let E be the ellipse x29+y24=1 and C be the circle x2+y2=9. Let P and Q be the points (1,2) and (2,1) respectively. Then, 

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a

Q lies inside C but outside E

b

Q lies outside both C and E

c

P lies inside both C and E

d

P lies inside C but outside E

answer is D.

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Detailed Solution

 Since 12+22=5<9 and 22+12=5<9, both P and Q lie inside C . Also, 

129+224=19+1>1 and 229+14=2536<1

Hence, P lies outside E and Q lies inside E. 

Thus, P lies inside C but outside E.

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 Let E be the ellipse x29+y24=1 and C be the circle x2+y2=9. Let P and Q be the points (1,2) and (2,1) respectively. Then,