CUET · MATHS · PYQ PAPER 2023
If area of the triangle with vertices \(A(2, k), B(1,1), C(10,8)\) is \(\frac{47}{2}\) sq. units, then one of the values of \(k\) is:
- A \(\frac{29}{9}\)
- B 2
- C -7
- D 7
Answer & Solution
Correct Answer
(D) 7
Step-by-step Solution
Detailed explanation
\( \text{Area} = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| \) \( \frac{47}{2} = \frac{1}{2} |2(1 - 8) + 1(8 - k) + 10(k - 1)| \) \( 47 = |2(-7) + 8 - k + 10k - 10| \) \( 47 = |-14 + 9k - 2| \) \( 47 = |9k - 16| \)…
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