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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Sequence and Series
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If both the roots of the quadratic equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal. Then $a, b, c$ are in

$\begin{array}{1 1} AP \\ GP \\ HP \\ No\;such\;relationship\;exists \end{array}$

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Answer : (a) AP
Explanation : since both roots are equal,In a quadratic equation of type $lx^2+mx+n=0$, roots are equal if $m^2-4ln=0$
a,b,c are in AP.
answered Dec 31, 2013 by yamini.v

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