1
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
The system of linear equations
$$\lambda$$x + 2y + 2z = 5
2$$\lambda$$x + 3y + 5z = 8
4x + $$\lambda$$y + 6z = 10 has
A
a unique solution when $$\lambda$$ = –8
B
no solution when $$\lambda$$ = 2
C
infinitely many solutions when $$\lambda$$ = 2
D
no solution when $$\lambda$$ = 8
2
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
If $$A = \left( {\matrix{ 2 & 2 \cr 9 & 4 \cr } } \right)$$ and $$I = \left( {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right)$$ then 10A–1 is equal to :
A
6I – A
B
4I – A
C
A – 6I
D
A – 4I
3
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
For which of the following ordered pairs ($$\mu$$, $$\delta$$), the system of linear equations
x + 2y + 3z = 1
3x + 4y + 5z = $$\mu$$
4x + 4y + 4z = $$\delta$$
is inconsistent ?
A
(1, 0)
B
(4, 3)
C
(4, 6)
D
(3, 4)
4
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
Out of Syllabus
Let A = [aij] and B = [bij] be two 3 × 3 real matrices such that bij = (3)(i+j-2)aji, where i, j = 1, 2, 3. If the determinant of B is 81, then the determinant of A is:
A
3
B
$${1 \over 3}$$
C
$${1 \over 9}$$
D
$${1 \over {81}}$$
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