Evaluate: $\left|\begin{array}{ccc}1 & -3 & 12 \\ 0 & 2 & -4 \\ 9 & 7 & 2\end{array}\right|$
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Solve the following Question.(1 Marks)
5 Q→02Solve the Following Question.(2 Marks)
19 Q→03Complete the following activities and rewrite it : (3M)
4 Q→04Solve the Following Question.(3 Marks)
8 Q→05Solve the Following Question.(4 Marks)
6 Q→06Solve the Following Question.(5 Marks)
6 Q→One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
(iii) $\left|\begin{array}{lll}2 & 7 & 65 \\ 3 & 8 & 75 \\ 5 & 9 & 86\end{array}\right|$
(ii) $\left|\begin{array}{ccc}2 & 3 & 4 \\ 5 & 6 & 8 \\ 6 x & 9 x & 12 x\end{array}\right|$
(i) $\left|\begin{array}{lll}1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b\end{array}\right|$
(iii) L(1, 1), M(-2, 2), N(5, 4)
(ii) P(3, 6), Q(-1, 3), R(2, -1)
(i) A(-1, 2), B(2, 4), C(0, 0)
(ii) kx + 3y + 4 = 0, x + ky + 3 = 0, 3x + 4y + 5 = 0
(i) 3x + y – 2 = 0, kx + 2y – 3 = 0 and 2x – y = 3
(ii) (k – 2)x + (k – 1)y = 17, (k – 1)x + (k – 2)y = 18, x + y = 5
(iii) x – y + 2z = 7, 3x + 4y – 5z = 5, 2x – y + 3z = 12
(ii) $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=-2, \frac{1}{x}-\frac{2}{y}+\frac{1}{z}=3, \frac{2}{x}-\frac{1}{y}+\frac{3}{z}=-1$
(i) 2x – y + z = 1, x + 2y + 3z = 8, 3x + y – 4z = 1
(i) 2x – y + z = 1, x + 2y + 3z = 8, 3x + y – 4z = 1
(v) $\frac{2}{x}-\frac{1}{y}+\frac{3}{z}=4, \frac{1}{x}-\frac{1}{y}+\frac{1}{z}=2, \frac{3}{x}+\frac{1}{y}-\frac{1}{z}=2$
(iv) $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=-2, \frac{1}{x}-\frac{2}{y}+\frac{1}{z}=3, \frac{2}{x}-\frac{1}{y}+\frac{3}{z}=-1$
(iii) 11x – y – z = 31, x – 6y + 2z = -26, x + 2y – 7z = -24
(ii) 2x – y + 6z = 10, 3x + 4y – 5z = 11, 8x – 7y – 9z = 12
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