Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
The roots of the quadratic equation
a2(b2 - c2)x2 + b2(c2 - a2)x + c2(a2 - b2) = 0 are equal (a2 ≠ b2 ≠ c2).
Which one of the following is a root of the equation?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Let α be the required root.
Sum of roots = \(\frac{-B}{A} = \frac{-b^2(c^2-a^2)}{a^2(b^2-c^2)}\)
⇒ α + α = \( = \frac{-b^2(c^2-a^2)}{a^2(b^2-c^2)}\)
⇒ α = \( \frac{b^2(c^2-a^2)}{2a^2(c^2-b^2)}\)
∴ Option (c) is correct
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