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If 2x ^(2) +5x +7 =0 and ax ^(2) +bx+c=0...

If `2x ^(2) +5x +7 =0 and ax ^(2) +bx+c=0` have at least one root common such that `a,b,c in {1,2,……,100},` then the difference between the maximum and minimum vlaues of `a +b +c` is:

A

196

B

284

C

182

D

126

Text Solution

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The correct Answer is:
C
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