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

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 Exemplar CBSE Class 12 Mathematics - All Chapters**

**Question 2:** Show that points

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

**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*)

**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:**

**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:**

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