Question:
If
\( \begin{vmatrix} p & q - y & r - z \\ p - x & q & r - z \\ p - x & q - y & r \end{vmatrix} = 0 \),
then the value of \( \dfrac{p}{x} + \dfrac{q}{y} + \dfrac{r}{z} \) is
If
\( \begin{vmatrix} p & q - y & r - z \\ p - x & q & r - z \\ p - x & q - y & r \end{vmatrix} = 0 \),
then the value of \( \dfrac{p}{x} + \dfrac{q}{y} + \dfrac{r}{z} \) is
Show Hint
Use column reductions to factor linear relations.
Updated On: Mar 23, 2026
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The Correct Option is B
Solution and Explanation
Expanding after column operations gives
\(\frac{p}{x} + \frac{q}{y} + \frac{r}{z} = 1\).
\(\frac{p}{x} + \frac{q}{y} + \frac{r}{z} = 1\).
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