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Question

Mathematics Question on Ellipse

Let E be the ellipsex29+y24=1\frac{x^2}{9}+\frac{y^2}{4}=1 and C be the circle x2 + y2 = 9. Let P and Q be the points (1, 2) and (2, 1) respectively. Then

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

P lies inside C but outside E

Explanation

Solution

The correct answer is(D): P lies inside C but outside E