CUET · MATHS · PYQ PAPER 2023
By using the determinants the area of the triangle with vertices \((0,0),(0,1)\) and \((1,0)\) is :
- A 1
- B 2
- C \(\frac{1}{2}\)
- D \(\frac{1}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
Area \( = \frac{1}{2} \left| \begin{vmatrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \end{vmatrix} \right| \) Area \( = \frac{1}{2} \left| \begin{vmatrix} 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \end{vmatrix} \right| \) Area \( = \frac{1}{2} | (0(1-0) - 0(0-1) + 1(0-1)) | \)…
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