NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.1 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths 4 Determinants Ex 4.1.

- Determinants Class 12 Ex 4.2
- Determinants Class 12 Ex 4.3
- Determinants Class 12 Ex 4.4
- Determinants Class 12 Ex 4.5
- Determinants Class 12 Ex 4.6

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 4 |

Chapter Name |
Determinants |

Exercise |
Ex 4.1 |

Number of Questions Solved |
8 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.1

**Question 1.**

**Evaluate the following determinant:**

**Solution:**

= 2x(-1)-(-5)x(4)

=-2+20

=18

**Question 2.**

**(i) **

**(ii) **

**Solution:**

(i)

= cosθ cosθ – (sinθ)(-sinθ)

= cos²θ + sin²θ

= 1

**Question 3.**

**If then show that |2A|=|4A|**

**Solution:**

=>

L.H.S = |2A|

=

= – 24

**Question 4.**

** , then show that |3A| = 27|A|**

**Solution:**

3A =

=

**Question 5.**

**Evaluate the following determinant:**

**(i) **

**(ii) **

**(iii) **

**(iv) **

**Solution:**

(i)

**Question 6.**

**If , find |A|**

**Solution:**

|A| =

= 1(-9+12)-1(-18+15)-2(8-5)

= 0

**Question 7.**

**Find the values of x, if**

**(i) **

**(ii)**

**Solution:**

(i)

=> 2 – 20 = 2x² – 24

=> x² = 3

=> x = ±√3

(ii)

or

2 × 5 – 4 × 3 = 5 × x – 2x × 3

=>x = 2

**Question 8.**

**If , then x is equal to**

**(a) 6**

**(b) +6**

**(c) -6**

**(d) 0**

**Solution:**

(b)

=> x² – 36 = 36 – 36

=> x² = 36

=> x = ± 6

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