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Q.

Find the value of 1001 2  .


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a

2110000

b

1210000

c

1000021

d

1002001 

answer is D.

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Detailed Solution

Given expression is 1001 2  .
Using the identity,
a+b 2 = a 2 + b 2 +2ab  
Expanding the expression,
1001 2 = 1000+1 2 1001 2 = 1000 2 + 1 2 +2×1000×1 1001 2 =1000000+1+2000 1001 2 =1002001   Therefore, the value of 1001 2  is 1002001.
Hence, option 4 is correct.
 
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