Q.

Let E be the ellipse x29+y24=1 and C be the circlex2+y2=9. Let P(1, 2) and Q(2,1) be two points, 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 out side E

answer is D.

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Detailed Solution

C:x2+y2−9=0E:x2/9+y2/4−1=0.   For P(1, 2), C:1+4−9<0, E:19+44−1>0So P lies outside E and inside C.For Q(2,1),C:4+1−9<0, E:49+14−1<0So Q lies inside both C and E.
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