Maths-

General

Easy

Question

# If and , then B =

## The correct answer is:

### Since

Þ

### Related Questions to study

Maths-

### If and , then x =

(As given)

or .

### If and , then x =

Maths-General

(As given)

or .

Maths-

### If , then A is

, hence matrix is non-singular.

### If , then A is

Maths-General

, hence matrix is non-singular.

Maths-

### The values of in order of the system of equations , are

Put the value which satisfies the equation. Hence, (d) is correct.

### The values of in order of the system of equations , are

Maths-General

Put the value which satisfies the equation. Hence, (d) is correct.

Maths-

### If x is a positive integer, then is equal to

=

Applying we get

,(on simplification).

Trick: Put and then match the alternate.

### If x is a positive integer, then is equal to

Maths-General

=

Applying we get

,(on simplification).

Trick: Put and then match the alternate.

Maths-

### The system of equations , will have a non zero solution if real values of are given by

Accordingly,

Therefore , since does not exist.

Therefore , since does not exist.

### The system of equations , will have a non zero solution if real values of are given by

Maths-General

Accordingly,

Therefore , since does not exist.

Therefore , since does not exist.

Maths-

### Set of equations and is consistent for equal to

System is consistent, if =0

and = 0 and also zero.

Hence, value of is zero.

### Set of equations and is consistent for equal to

Maths-General

System is consistent, if =0

and = 0 and also zero.

Hence, value of is zero.

Maths-

### The number of solutions of the equations is

The given system of homogeneous equations has

.

There exists only one trivial solution.

.

There exists only one trivial solution.

### The number of solutions of the equations is

Maths-General

The given system of homogeneous equations has

.

There exists only one trivial solution.

.

There exists only one trivial solution.

Maths-

= 0 (Since value of determinant of skew-symmetric matrix of odd orders is 0)

Maths-General

= 0 (Since value of determinant of skew-symmetric matrix of odd orders is 0)

Maths-

### If , then x =

By ,

we have = 0

, (Since the determinant = 1)

we have = 0

, (Since the determinant = 1)

### If , then x =

Maths-General

By ,

we have = 0

, (Since the determinant = 1)

we have = 0

, (Since the determinant = 1)

Maths-

= 0

Maths-General

= 0

Maths-

### If are three consecutive positive integers, then

Since are three consecutive positive integers, therefore .

....(i)

Now

.

....(i)

Now

.

### If are three consecutive positive integers, then

Maths-General

Since are three consecutive positive integers, therefore .

....(i)

Now

.

....(i)

Now

.

Maths-

### The value of is

=

### The value of is

Maths-General

=

Maths-

### The sum of the products of the elements of any row of a determinant A with the same row is always equal to

We know that the row to row multiplication of a determinant is always equal to the value of the determinant i.e., | A|.

### The sum of the products of the elements of any row of a determinant A with the same row is always equal to

Maths-General

We know that the row to row multiplication of a determinant is always equal to the value of the determinant i.e., | A|.

Maths-

### is divisor of

Multiply by respectively and hence divide by abc

\

Now take out a, b and c common from and ,

\

Now applying

Þ

Hence, it is divisible by

### is divisor of

Maths-General

Multiply by respectively and hence divide by abc

\

Now take out a, b and c common from and ,

\

Now applying

Þ

Hence, it is divisible by

Maths-

### If ,then the value of k is

.

### If ,then the value of k is

Maths-General

.