If 3 distinct real number a , b , c satisfy a^2(a + p) = b^2 (b + p) = c^2 (c + p) where p ∈ R , t

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4-2.Quadratic Equations and Inequations

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If $3$ distinct real number $a$,$b$,$c$ satisfy $a^2(a + p) = b^2 (b + p) = c^2 (c + p)$ where $p \in R$, then value of $bc + ca + ab$ is

A

$-p$

B

$p$

C

$0$

D

$\frac{{{p^2}}}{2}$

Solution

If each value is $k$, then $a$,$b$,$c$ are roots of equation $x^3 + px^2 – k = 0$
$bc + ca + ab = 0$.

Standard 11

Mathematics

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