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Question

The equation formed by the increasing each root of ax2+bx+c=0 by 1, is 2x2+8x+2=0, then

A
a+b=0
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B
b+c=0
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C
b=c
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D
a=b
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Solution

The correct option is C b=c
Equation formed by increasing each root of
ax2+bx+c=0 by 1 is
a(x1)2+b(x1)+c=0
a(x22x+1)+bx+cb=0
ax2+(b2a)x+cb+a=0
cb+a=a .... since 2x2+8x+2=0 is given equation
cb=0
c=b

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