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Question

If both the roots of a(bc)x2+b(ca)x+c(ab)=0 are equal, then a,b,c are in


Your Answer
A
A.P.
Your Answer
B
G.P.
Correct Answer
C
H.P.
Your Answer
D
None of these

Solution

The correct option is C H.P.
a(bc)x2+b(ca)x+c(ab)=0
By observation, sum of coefficient =0, so x=1 is one root of the equation,
So both of the roots are 1,
Product of roots
c(ab)a(bc)=1acbc=abac2ac=ab+bcb=2aca+c
Therefore,
a,b,c are in H.P.

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