Let \( a, b, c \) be real such that \( a x^{2}+ \) to \( +c=0 \) and \( x^{2}+x+1=0 \) have a co... VIDEO
Let \( a, b, c \) be real such that \( a x^{2}+ \) to \( +c=0 \) and \( x^{2}+x+1=0 \) have a common root. STATEMENT-1: \( a=b=c \).
because
STATEMENT-2: Two quadratic equations with real coefficients cannot have only one imaginary root common.
(a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(b) Statement-1 is True, Statement-2 is True; Statement-2 is Not a correct explanation for Statement-1
(c) Statement-1 is True, Statement-2 is False
(d) Statement-1 is False, Statement-2 is True
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