if(1+x)10=a0+a1x+....a10x10,then(a0−a2+a4−a6+a8−a10)2+(a1−a3+a5−a7+a9)2 is equal to
A
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B
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C
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D
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Solution
The correct option is B Putting x = i, – iand multiplying both the results, we get the value of the required expression as, (a0−a2+a4−a6+a8−a10)2+(a1−a3+a5−a7+a9)2=(1+10)10(1−i)10=(1+1)10=210