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GUJCET · Maths · Determinants
If area of triangle is 35 sq. units with vertices \((2, -6), (5, 4)\) and \((k, 4)\). Then \(k\) is ________.
- A -2
- B 12
- C -12, -2
- D 12, -2
Answer & Solution
Correct Answer
(D) 12, -2
Step-by-step Solution
Detailed explanation
\( \text{Area} = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| \) \( 35 = \frac{1}{2} |2(4 - 4) + 5(4 - (-6)) + k(-6 - 4)| \)
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