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GUJCET · Maths · Determinants
The area of \(\triangle PQR\) with the vertices \(P (k, 1), Q (2,4)\) and \(R (1,1)\) is 3 sq. units then, \(k=\) _________ .
- A \(0, 2\)
- B \(-3,1\)
- C \(-1,3\)
- D \(1, 3\)
Answer & Solution
Correct Answer
(C) \(-1,3\)
Step-by-step Solution
Detailed explanation
\(\text{area} = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|\) \(3 = \frac{1}{2} |k(4 - 1) + 2(1 - 1) + 1(1 - 4)|\)
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