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Determinant

If a p, b q...

Question

If $a \neq p, b \neq q$ and $c \neq r$ $∣ ∣ ∣ ∣ \begin{matrix} p & b & c a & q & c a & b & r \end{matrix} ∣ ∣ ∣ ∣ = 0$ then, find the value of :-
$\frac{p}{p - a} + \frac{q}{q - b} + \frac{r}{r - c} = ?$

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Similar questions

a \neq p, b \neq q, c \neq r

∣ ∣ ∣ ∣ \begin{matrix} p & b & c a & q & c a & b & r \end{matrix} ∣ ∣ ∣ ∣ = 0,

then find the value of

\frac{p}{p - a} + \frac{q}{q - b} + \frac{r}{r - c}

a \neq p, b \neq q, c \neq r

∣ ∣ ∣ ∣ \begin{matrix} p & b & c a & q & c a & b & r \end{matrix} ∣ ∣ ∣ ∣ = 0

then find the value of

\frac{p}{p - a} + \frac{q}{q - b} + \frac{r}{r - c}

∣ ∣ ∣ ∣ \begin{matrix} p & b & c a & q & c a & b & r \end{matrix} ∣ ∣ ∣ ∣ = 0

find the value of

\frac{p}{p - a} + \frac{q}{q - b} + \frac{r}{r - c}

(p \neq a, q \neq b, r \neq c)

a \neq p, b \neq q, c \neq r

∣ ∣ ∣ ∣ \begin{matrix} p & b & c a & q & c a & b & r \end{matrix} ∣ ∣ ∣ ∣

= 0 then the value of

\frac{p}{p - a} + \frac{q}{q - b} + \frac{r}{r - c}

If |\begin{matrix} p & b & c \\ a & q & c \\ a & b & r \end{matrix}| = 0, find the value of \frac{p}{p - a} + \frac{q}{q - b} + \frac{r}{r - c}, p \neq a, q \neq b, r \neq c .

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