NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 13

Doorsteptutor material for UGC Public-Administration is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Question 35:

If x, y, z are all different from zero and , then value of is

(A)

(B)

(C)

(D)

Answer: (D)

Question 36:

The value of the determinant is

(A)

(B)

(C)

(D)

Answer: (B)

Question 37:

There are two values of a which makes determinant, then sum of these number is

(A)

(B)

(C)

(D)

Answer: (C)

Fill in the Blanks

Question 38:

If A is a matrix of order , then _______ .

Answer:

Question 39:

If A is invertible matrix of order , then _______ .

Answer:

Question 40:

If , then the value of determinant is equal to _________.

Answer:

Zero

Question 41:

If ______________.

Answer:

Question 42:

If A is a matrix of order , then = ________.

Answer:

Question 43:

If A is a matrix of order , then number of minors in determinant of A are ________.

Answer:

Question 44:

The sum of the products of elements of any row with the co-factors of corresponding elements is equal to _________.

Answer:

Value of the determinant

Question 45:

If is a root ,then other two roots are __________.

Answer: