1
WB JEE 2021
+1
-0.25
If an (> 0) be the nth term of a G.P. then

$$\left| {\matrix{ {\log {a_n}} & {\log {a_{n + 1}}} & {\log {a_{n + 2}}} \cr {\log {a_{n + 3}}} & {\log {a_{n + 4}}} & {\log {a_{n + 5}}} \cr {\log {a_{n + 6}}} & {\log {a_{n + 7}}} & {\log {a_{n + 8}}} \cr } } \right|$$ is equal to
A
1
B
2
C
$$-$$2
D
0
2
WB JEE 2021
+1
-0.25
Let T and U be the set of all orthogonal matrices of order 3 over R and the set of all non-singular matrices of order 3 over R respectively. Let A = {$$-$$1, 0, 1}, then
A
there exists bijective mapping between A and T, U.
B
there does not exist bijective mapping between A and T, U.
C
there exists bijective mapping between A and T but not between A and U.
D
there exists bijective mapping between A and U but not between A and T.
3
WB JEE 2021
+2
-0.5
The determinant $$\left| {\matrix{ {{a^2} + 10} & {ab} & {ac} \cr {ab} & {{b^2} + 10} & {bc} \cr {ac} & {bc} & {{c^2} + 10} \cr } } \right|$$ is
A
divisible by 10 but not by 100
B
divisible by 100
C
not divisible by 100
D
not divisible by 10
4
WB JEE 2020
+1
-0.25
Let A = $$\left( {\matrix{ {3 - t} \cr { - 1} \cr 0 \cr } \matrix{ {} \cr {} \cr {} \cr } \,\matrix{ 1 \cr {3 - t} \cr { - 1} \cr } \matrix{ {} \cr {} \cr {} \cr } \matrix{ 0 \cr 1 \cr 0 \cr } } \right)$$ and det A = 5, then
A
t = 1
B
t = 2
C
t = $$-$$ 1
D
t = $$-$$ 2
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