MHT CET · Maths · Determinants
If \([2 \overline{\mathrm{p}}-3 \overline{\mathrm{r}} ~\overline{\mathrm{q}} ~\overline{\mathrm{s}}]+[3 \overline{\mathrm{p}}+2 \overline{\mathrm{q}} ~\overline{\mathrm{r}} ~\overline{\mathrm{s}}]=\mathrm{m}[\overline{\mathrm{p}} ~\overline{\mathrm{r}} ~\overline{\mathrm{s}}]+\mathrm{n}[\overline{\mathrm{q}} ~\overline{\mathrm{r}} ~\overline{\mathrm{s}}]+\mathrm{t}[\overline{\mathrm{p}} ~\overline{\mathrm{q}} ~\overline{\mathrm{s}}]\),, then the values of \(m, n, t\) respectively are ....
- A \(2,3,3\)
- B \(3,4,5\)
- C \(1,2,3\)
- D \(3,5,2\)
Answer & Solution
Correct Answer
(D) \(3,5,2\)
Step-by-step Solution
Detailed explanation
\([2 \overline{p}-3 \overline{r} ~ \overline{q} ~ \overline{s}] = 2[\overline{p} ~ \overline{q} ~ \overline{s}] - 3[\overline{r} ~ \overline{q} ~ \overline{s}] = 2[\overline{p} ~ \overline{q} ~ \overline{s}] + 3[\overline{q} ~ \overline{r} ~ \overline{s}] \) \([3 \overline{p}+2 \overline{q} ~ \overline{r} ~ \overline{s}] = 3[\overline{p} ~ \overline{r} ~ \overline{s}] + 2[\overline{q} ~ \overline{r} ~ \overline{s}] \)
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