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Question

The set S and E are defined as given below: S={(x,y):|x3|<1and|y3|<1} E={(x,y):4x2+9y232x54y+1090} then SE
If true enter 0 else enter 1.

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Solution

In E,4x2+9y232x54y+1090
(x4)29+(y3)241
(x,y) are points on or inside the ellipse
x3[2,4],|y3|[0,2]
SE
The correct answer is 0

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