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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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