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NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Part V)

CBSE Class 12 Maths NCERT Solutions for Chapter 4 – Determinant are available here. With this article, students can get the solutions of Exercise 4.3. These questions are important for CBSE Class 12 Maths board exams and other engineering entrance exams like JEE Main, WBJEE etc.

Aug 24, 2017 15:30 IST
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Class 12th Maths NCERT Solutions for Chapter 4 – Determinant are available are available here. In this article, students will get solutions for all the questions of Exercise 4.3. Most of the questions given in this exercise are based on concepts related to properties of determinant and calculation of the area of triangles using determinant.

Question1. Find area of the triangle with vertices at the point given in each of the following:

(i) (1, 0), (6, 0), (4, 3)

(ii) (2, 7), (1, 1), (10, 8)

(iii) (–2, –3), (3, 2), (–1, –8)

Solution 1:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 1 (i)

NCERT Exemplar CBSE Class 12 Mathematics - All Chapters

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 1 (ii)

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 1 (iii)

Question 2: Show that points

A (a, b + c), B (b, c + a), C (c, a + b) are collinear.

Solution 2:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 2

Question 3: Find values of k if area of triangle is 4 sq. units and vertices are

(i) (k, 0), (4, 0), (0, 2)

(ii) (–2, 0), (0, 4), (0, k)

Solution 3:

(i)

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 3 (i)

 

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 3 (ii)

Question 4: (i) Find equation of line joining (1, 2) and (3, 6) using determinants.

(ii) Find equation of line joining (3, 1) and (9, 3) using determinants.

Solution 4:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 4 (i)

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 4 (ii)

Question 5: If area of triangle is 35 sq units with vertices (2, – 6), (5, 4) and (k, 4). Then k is

(A) 12 (B) –2 (C) –12, –2 (D) 12, –2

Solution 5:

NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Exercise 4.3), Solution 5

Download NCERT Solutions for Class 12 Maths - Chapter 4 (Determinant) in PDF format

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