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Question

The equation ax2+bx+c=0 will be an identity iff

A
a=b=c=0
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B
a=b=c0
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C
abc=0
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Solution

The correct option is A a=b=c=0
Any equation is called an identity iff the equation holds true for all values of the variable.

For any polynomial equation anxn+an1xn1++a1x1+a0=0 iff all the coefficients of the polynomial equation is equal to 0
an=an1=an2==a1=a0

Thus, for our equation to be identity:
a=b=c=0

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