In this chapter, we provide NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.3 for English medium students, Which will very helpful for every student in their exams. Students can download the latest NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.3 pdf, free NCERT solutions for Class 12 Maths Chapter 4 Determinants Ex 4.3 book pdf download.

Board | CBSE |

Textbook | NCERT |

Class | Class 12 |

Subject | Maths |

Chapter | Chapter 4 |

Chapter Name | Determinants |

Exercise | Ex 4.3 |

Number of Questions Solved | 5 |

Category | NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.3

**Ex 4.3 Class 12 Maths Question 1.****Find the 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:**

(i) Area of triangle =

= [1(0-3)+1(18-0)]

= 7.5 sq units

**Ex 4.3 Class 12 Maths Question 2.****Show that the points A (a, b + c), B (b, c + a) C (c, a+b) are collinear.****Solution:**

The vertices of ∆ABC are A (a, b + c), B (b, c + a) and C (c, a + b)

**Ex 4.3 Class 12 Maths Question 3.****Find the value of k if area of triangle is 4 square units and vertices are****(i) (k, 0), (4,0), (0,2)****(ii) (-2,0), (0,4), (0, k).****Solution:**

(i) Area of ∆ = 4 (Given)

= [-2k+8]

= -k+4

Case (a): -k + 4 = 4 ==> k = 0

Case(b): -k + 4 = -4 ==> k = 8

Hence, k = 0,8

(ii) The area of the triangle whose vertices are (-2,0), (0,4), (0, k)

**Ex 4.3 Class 12 Maths Question 4.****(i) Find the equation of line joining (1, 2) and (3,6) using determinants.****(ii) Find the equation of line joining (3,1), (9,3) using determinants.****Solution:**

(i) Given: Points (1,2), (3,6)

Equation of the line is

**Ex 4.3 Class 12 Maths 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:**

(d) Area of ∆ =

= [50 – 10k] = 25 – 5k

∴ 25-5k = 35 or 25-5k = -35

-5k = 10 or 5k = 60

=> k = -2 or k = 12

**All Chapter NCERT Solutions For Class12 Maths**

—————————————————————————–**All Subject NCERT Solutions For Class12**

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