Let a, b be non zero real numbers such that a b=5 / 2 and given \A=[\table a ,-b ;b , a ] and \AA^{\T}= 20\I (I is a unit matrix), then the equation whose roots are a and b is

Correct Answer is : 2x2±10x+5=0

AP EAPCET 19-Aug-2021 Shift 1 Paper

Section: Mathematics

Question : 6 of 160

Marks: +1, -0

Let a,b be non zero real numbers such that ab=

and given A=[

a	−b
b	a

] and AAT= 20I (I is a unit matrix), then the equation whose roots are a and b is

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a2+b2	0
0	a2+b2