2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3

Students can Download Maths Chapter 4 Determinants Ex 4.3 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka 2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3

2nd PUC Maths Determinants NCERT Text Book Questions and Answers Ex 4.3

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

Question 1.
(i) (1, 0), (6, 0), (4, 3)
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.1

(ii) (2,7)(1,1),(10,8)
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.2

a

(iii) (-2, -3), (3, 2), (-1, -8)
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.3

Question 2.
Show that points
A (a, b + c), B (b, c + a), C (c, a + b) are collinear
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.4

KSEEB Solutions

Question 3.
Find the values of K if area of triangle is 4 square units and vertices are
(i) (K, 0), (4, 0), (0, 2)
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.5

(ii) (-2, 0), (0, 4), (0, k)
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.6

Question 4.
(i) Find the equation of line joining (1, 2) and (3, 6) using determinants Let p (x, y) be any point on the line joining. (1, 2) (3, 6)
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.7
expanding along
C3 ⇒1 ((1 – x) (6 – y) – (3 – x) (2 – y)) = 0
⇒ {6 – y – 6x + xy – 6 + 3y + 2x – xy}
⇒ 2y – 4x = 0, or y = 2x

KSEEB Solutions

(ii) Find the equation of the line joining (3, 1) and (9, 3) using determinants.
Answer:
Let p (x, y) be any point on the line joining (3,1) and (9,3)
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.8

Question 5.
If area of triangle is 35 square units with vertices (2, -6), (5, 4) and (k, 4) then K is
(A) 12
(B) -2
(C) -12, -2
(D) 12, -2
Answer:
2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.3.9

a