QQuestion
If one root of the equation ax²+abcx+bc = 0 (a≠0) is reciprocal to the other, then
(a) abc = 1
(b) b = ac
(c) bc = 1
(d) a = bc
✓Answer
(d) a = bc
Explanation:
Let the roots be α and \text{1}\over \text{α}
Product of roots = \text{bc}\over \text{a}
⇒ 1 = \text{bc}\over \text{a}
⇒ bc = a
⇒ a = bc.
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