Maths-
General
Easy
Question
Let
be a cube root of unity and
be the set of all non‐singular matrices of the form
, where each of a, b and
is either
Then the number of distinct matrices in the set
is‐
- 2
- 6
- 4
- 8
The correct answer is: 2
Given questionLet
be a cube root of unity and
be the set of all non‐singular matrices of the form of matrix
Given Matrix

Determinant D is not equal to 0

Hence no of matrices formed = 2
Related Questions to study
Maths-
Let A be a
matrix with non‐zero entries and let
, where I is
identity matrix Defi ne Tr(A)
of diagonal elements
and
determinant of matrix A
Statement 1: Tr(A) 
Statement 2: 
Hence option C is suitable option
Let A be a
matrix with non‐zero entries and let
, where I is
identity matrix Defi ne Tr(A)
of diagonal elements
and
determinant of matrix A
Statement 1: Tr(A) 
Statement 2: 
Maths-General
Hence option C is suitable option
maths-
If A
and I
, then which one of the following holds for all
, (by the principal of mathematical induction)
If A
and I
, then which one of the following holds for all
, (by the principal of mathematical induction)
maths-General
maths-
The equation
has a solution for (x, y, z) besides (0,0,0) The value of k equals
The equation
has a solution for (x, y, z) besides (0,0,0) The value of k equals
maths-General
maths-
If
, then 
If
, then 
maths-General
maths-
Matrix A is such that
, where I is the identity matrix The for

Matrix A is such that
, where I is the identity matrix The for

maths-General
maths-
Statement‐I:: If
is increasing function with concavity upwards, then concavity of
is also upwards
Statement‐II:: If
is decreasing function with concavity upwards, then concavity of
is also upwards.
Statement‐I:: If
is increasing function with concavity upwards, then concavity of
is also upwards
Statement‐II:: If
is decreasing function with concavity upwards, then concavity of
is also upwards.
maths-General
maths-
Statement‐I::
, where
is Napier
sconstant.
Statement‐II:: If f
and
is positive
, then
increases with concavity up
and any chord lies above the curve.
Statement‐I::
, where
is Napier
sconstant.
Statement‐II:: If f
and
is positive
, then
increases with concavity up
and any chord lies above the curve.
maths-General
maths-
The beds of two rivers (within a certain region) are a parabola
and a straight line y=x-2 These rivers are to be connected by a straight canal The coordinates of the ends of the shortest canal can be:
The beds of two rivers (within a certain region) are a parabola
and a straight line y=x-2 These rivers are to be connected by a straight canal The coordinates of the ends of the shortest canal can be:
maths-General
maths-
If f(x) is twice differentiable function f((1)=1, f(2)=4, f(3)=9
If f(x) is twice differentiable function f((1)=1, f(2)=4, f(3)=9
maths-General
maths-
If f(x)
, then f(x)
If f(x)
, then f(x)
maths-General
maths-
The set of value (s) of
’for which the function
possess anegative point of inflection‐
The set of value (s) of
’for which the function
possess anegative point of inflection‐
maths-General
Maths-
The greatest, the least values of the function,
are respectively
Hence the final answer is (2,0)
The greatest, the least values of the function,
are respectively
Maths-General
Hence the final answer is (2,0)
Maths-
Suppose that
is differentiable for allx and that
for all x If
and f(4)=8 then f(2) has the value equal to
Hence f(2)=4 is the suitable option
Suppose that
is differentiable for allx and that
for all x If
and f(4)=8 then f(2) has the value equal to
Maths-General
Hence f(2)=4 is the suitable option
maths-
dxthenfis‐
dxthenfis‐
maths-General
Maths-
The tangent to the curve
at (1,1) meets the curve again at the point‐
The final answer is option B
The tangent to the curve
at (1,1) meets the curve again at the point‐
Maths-General
The final answer is option B