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Q.

If the hyperbola x2 - y2 = 4 is rotated by 45° in the anticlockwise direction about its center keeping the axis intact, then the equation of the hyperbola is xy=a2 where a2 is equal to_____________

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answer is 3.

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Detailed Solution

(a,2) lies on director circlex2+y2=7 Therefore a2 = 3
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If the hyperbola x2 - y2 = 4 is rotated by 45° in the anticlockwise direction about its center keeping the axis intact, then the equation of the hyperbola is xy=a2 where a2 is equal to_____________