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$Let E be the ellipse \frac{x^{2}}{9} + \frac{y^{2}}{4} = 1 and C be the circle x^{2} + y^{2} = 9 . Let P and Q be the points (1, 2) and (2, 1) respectively. Then,$

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Q lies inside C but outside E

Q lies outside both C and E

P lies inside both C and E

P lies inside C but outside E

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detailed solution

Correct option is D

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<1Hence, 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,

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$Let E be the ellipse \frac{x^{2}}{9} + \frac{y^{2}}{4} = 1 and C be the circle x^{2} + y^{2} = 9 . Let P and Q be the points (1, 2) and (2, 1) respectively. Then,$