Plus Two Maths Chapter Wise Previous Questions Chapter 4 Determinants are part of Plus Two Maths Chapter Wise Previous Year Questions and Answers. Here we have given Plus Two Maths Chapter Wise Previous Chapter 4 Determinants.

## Kerala Plus Two Maths Chapter Wise Previous Questions and Answers Chapter 4 Determinants

Question 1.

a. Prove that

b. If

i. Prove that B=A^{1 }ii. Using A^{1} solve the system linear equations given below.

x – y + 2z = 1

2y – 3z = 1

3x – 2y + 4z = 2 **[March-2018] **Answer:

**[Since, If any two rows or columns of a determinent are identical, then value of determinant is zero]**

Question 2.

a. If

is such that A=1 then a equals

a. 1

b.-1

c. 0

d. 2

b. Solve the system of equations:

x – y + z = 4

2x + y – 3z = 0

x + y + z = 2 using matric method. **[March-2017] **Answer:

Question 3.

a. The Value of

is

(i) 1

(ii) X

(iii) x^{2}

(iv) 0

b. Using properties of determinants, show that

Answer:

Question 4.

a. Prove that

b. Prove that

**[March-2015] **Answer:

Question 5.

Solve the system of Linear equations

x + 2y + z = 8

2x + y – z = 1

x-y + z = 2 ** [March-2015] **Answer:

Question 6.

Inverse of the matrix

**[March-2015]**

Answer:

Question 7.

(a) Find the value of x in which

(b) Using the property of determinants, show that the points A(a, b + c), B(b, c+a) and C (c, a+b) are collinear.

(c) Examine the consistency of system of following equations:

5x – 6y + 4z = 15 ;

7x + 4y – 3z = 19

2x + y + 6z = 46** [March-2013] **Answer:

(b)

Question 8.

(i) Let B be a square matrix of order 5 then |KB| is equal to

(a) |B|

(b)K|B|

(c) K^{5} |B|

(d) 5|B|

(ii) Prove that

(iii) Check the consistancy of the following equations:

2x+3y+z = 6;

x + 2y – z = 2;

7x + y + 2z = 10 **[June-2012] **Answer:

(i) (c)

Question 9.

(a) If

then x=—–

(b) Prove that

(c) Solve using matrix method.

5x + 2y = 3

3x + 2y = 5 ** [March -2012] **Answer:

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