2. Show that points A(a, b+c), B(b, c+a), C(c, a+b) are collinear. Determinants Exercise 4.2 Previous Next Class 12 Determinants Exercise 4.2 1. Find area of the triangle with vertices at the point given in each of the following: (i) …
1. 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) Determinants Exercise 4.2 Previous Next Class 12 Determinants Exercise 4.2…
8. If (begin{vmatrix}x & 2 \18 & x end{vmatrix})=(begin{vmatrix}6 & 2 \18 & 6 end{vmatrix}), then x is equal to: (A) 6 (B) ±6 (C) -6 (D) 0 Determinants Exercise 4.1 Previous Next Class 12 Determinants Exercise 4.1 Evaluate the…
7. Find values of x, if (i) (begin{vmatrix}2 & 4 \5 & 1 end{vmatrix})=(begin{vmatrix}2x & 4 \6 & x end{vmatrix}) (ii) (begin{vmatrix}2 & 3 \4 & 5 end{vmatrix})=(begin{vmatrix}x & 3 \2x & 5 end{vmatrix}) Determinants Exercise 4.1 Previous Next Class…
6. If (A=begin{vmatrix}1 & 1 & -2 \ 2 & 1 & -3 \ 5 & 4 & -9 end{vmatrix}), find |A|. Determinants Exercise 4.1 Previous Next Class 12 Determinants Exercise 4.1 Evaluate the determinants in Exercise 1 and 2.…
5. Evaluate the determinants (i) (begin{vmatrix}3 & -1 & -2 \ 0 & 0 & -1 \ 3 & -5 & 0 end{vmatrix}) (ii) (begin{vmatrix}3 & -4 & 5 \ 1 & 1 & -2 \ 2 & 3 &…
4. If (A=begin{vmatrix}1 & 0 & 1 \ 0 & 1 & 2 \ 0 & 0 & 4 end{vmatrix}), then show that |3A|=27|A|. Determinants Exercise 4.1 Previous Next Class 12 Determinants Exercise 4.1 Evaluate the determinants in Exercise 1…
3. If (A=begin{bmatrix}1 & 2 \ 4 & 2end{bmatrix}), then show that |2A|=4|A|. Determinants Exercise 4.1 Previous Next Class 12 Determinants Exercise 4.1 Evaluate the determinants in Exercise 1 and 2. 1. (begin{vmatrix}2 & 4 \ -5 & -1end{vmatrix}) 2.…
2. (i) (begin{vmatrix}cosθ & -sinθ \ sinθ & cosθend{vmatrix}) (ii) (begin{vmatrix}x^2-x+1 & x-1 \ x+1 & x+1end{vmatrix}) Determinants Exercise 4.1 Previous Next Class 12 Determinants Exercise 4.1 Evaluate the determinants in Exercise 1 and 2. 1. (begin{vmatrix}2 & 4 \…
Evaluate the determinants in Exercise 1 and 2. 1. (begin{vmatrix}2 & 4 \ -5 & -1end{vmatrix}) Determinants Exercise 4.1 Previous Next Class 12 Determinants Exercise 4.1 Evaluate the determinants in Exercise 1 and 2. 1. (begin{vmatrix}2 & 4 \ -5…
