1
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If the following three linear equations have a non-trivial solution, then

x + 4ay + az = 0

x + 3by + bz = 0

x + 2cy + cz = 0
A
a, b, c are in AP
B
a, b, c are in GP
C
a, b, c, are in HP
D
a + b + c = 0
2
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The least positive integer n such that $${\left( {\matrix{ {\cos \pi /4} & {\sin \pi /4} \cr { - \sin {\pi \over 4}} & {\cos {\pi \over 4}} \cr } } \right)^n}$$ is an identity matrix of order 2 is
A
4
B
8
C
12
D
16
3
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The linear system of equations

$$\left. \matrix{ 8x - 3y - 5z = 0 \hfill \cr 5x - 8y + 3z = 0 \hfill \cr 3x + 5y - 8z = 0 \hfill \cr} \right\}$$ has
A
only zero solution
B
only finite number of non-zero solutions
C
no non-zero solution
D
infinitely many non-zero solutions.
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let P be the set of all non-singular matrices of order 3 over R and Q be the set of all orthogonal matrices of order 3 over R. Then,
A
P is proper subset of Q
B
Q is proper subset of P
C
Neither P is proper subset of Q nor Q is proper subset of P
D
P $$ \cap $$ Q = $$\phi$$, the void set
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12