Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

Given,for three distinct real numbers a,b,c $\in R,a(a^2+p)=b(b^2+p)=c(c^2+p)$.The value of $a+b+c$ is

$\begin{array}{1 1}(A)\;0&(B)\;1\\(C)\;3&(D)\;\text{None}\end{array} $

Can you answer this question?

1 Answer

0 votes
Let $a(a^2+p)=b(b^2+p)=c(c^2+p)=k$
Then $x(x^2+p)=k$ has a,b,c as roots
$\Rightarrow x^3+px-k=0$
$a+b+c$=sum of roots=zero
Hence (A) is the correct answer.
answered Apr 16, 2014 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App