1.

The roots of the equation ax2 + bx + c = 0 will be reciprocal if A) a = bc B) b = c C) a = b D) c = a

Answer»

Correct option is (D) c = a

Let \(\alpha\;and\;\frac1\alpha\) be roots of equation \(ax^2+bx+c=0.\)

\(\therefore\) Product of roots \(=\frac ca\)

\(\Rightarrow\) \(\alpha\times\frac1\alpha\) \(=\frac ca\)

\(\Rightarrow\) 1 \(=\frac ca\)

\(\Rightarrow\) a = c

Hence, roots of equation \(ax^2+bx+c=0\) will be reciprocal if c = a.

Correct option is D) c = a



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