Evaluate 
1
1
1
x
y
x
y
y
x
x+ y
+
Rationalised 2023-24
 100
MATHEMATICS
Using properties  of determinants in Exercises 11 to 15, prove that:
7 Solve the system of equations
2
3
10
4
+
+
=
x
y
z
4
6
5
1
+
=
x–
y
z
6
9
20
2
+
=
–
x
y
z
Choose the correct answer in Exercise 17 to 19 8 If  x, y, z are nonzero real numbers, then the inverse of matrix 
0
0
A
0
0
0
0
x
y
z




= 





is
(A)
1
1
1
0
0
0
0
0
0
x
y
z
−
−
−










(B)
1
1
1
0
0
0
0
0
0
x
xyz
y
z
−
−
−










(C)
0
0
1
0
0
0
0
x
y
xyz
z










(D)
1
0
0
1
0
1
0
0
0
1
xyz










9