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Q.

If 3A=12221−2x2y and AA′=I, then 3A=12221−2x2y and AA′=I, then x+y is equal to

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a

-3

b

-2

c

-1

d

0

answer is A.

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Detailed Solution

(3A)′=12x2122−2yNow, 9I=(3A)(3A)′=12221−2x2y12x2122−2y=90x+4+2y092x+2−2yx+4+2y2x+2−2yx2+4+y2⇒x+2y+4=02x−2y+2=0x2+y2+4=9⇒x=−2, y=−1
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If 3A=12221−2x2y and AA′=I, then 3A=12221−2x2y and AA′=I, then x+y is equal to