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Question

If A=13122212x2y is an orthogonal matrix then value of x+y is equal to

A
-3
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B
\N
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C
1
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D
3
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Solution

The correct option is A -3
A.AT=I1990x+4+2y092x+22yx+4+2y2x+22yx2+y2+4=100010001
x+4+2y=0,2x+22y=0x=2,y=1

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