Question
The quadratic equation in x such that the arithmetic mean of the roots is p and the geometric mean is q is
Answer: Option D
:
D
A quadratic equation can be written as
x2 - (sum of roots)x + (product of roots) =0
Arithmetic mean(p) = Sum of roots2⇒sum of roots = 2p
Geometric mean (q) = √(Product of roots)⇒product of roots = q2
The required equation is x2−2px+q2=0
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:
D
A quadratic equation can be written as
x2 - (sum of roots)x + (product of roots) =0
Arithmetic mean(p) = Sum of roots2⇒sum of roots = 2p
Geometric mean (q) = √(Product of roots)⇒product of roots = q2
The required equation is x2−2px+q2=0
Was this answer helpful ?
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