## Imaginary Part of the multiplicative inverse of a number 6-5i is?

A) 5/61

B) 6/61

C) -5/61

D) None of these

Multiplicative inverse of 6-5i is 1/6-5i so,

= (1/6-5i) x (6+5i/6+5i)

= (6+5i)/ 6²- 5i²  ∴ (a² – b²) = (a-b)(a+b)

By sloving we get

= 6/61 + 5i/61

A) z

B) 0

C) a

D) None of these

P(z)=z-a

P(a)=a-a=0

## Solve:

A = [aij] be n square matrix If a2i = 0 for all j 1, 2, 3, …, n, then the matrix A is?

A) Regular

B) Diagonal

C) Singular

D) None of these

## The centroid of a Wangle LMN with vertices L(1,1,1), M(3, 3, 3), N(5, 5, 5) is the point?

A) (3,3,3)

B) (2,2,2)

C) (25, 2.5, 2.5)

D) None of these

A) 2/2

B) 1/2

C) 3/2

D) None of these

A) 1

B) 2

C) 0

D) None of these

A) 3i-3j

B) 3j+3j

C) 3j-3k

D) None of these

## The population of a city increases by 700 each year If the population grows to 25000 in five years. its initial populations was?

A) 21000

B) 21500

C) 22000

D) None of these

Every year population increase = 700

after five year population increase = 5 x 700= 3500

So intial population = 25000-3500=21500

A) 4910

B) 4920

C) 4900

D) None of these

A) 4960

B) 4970

C) 4980

D) None of these