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…
4. Find the zero of the polynomial in each of the following cases: (i) p(x) = x + 5 (ii) p(x) = x – 5 (iii) p(x) = 2x + 5 (iv) p(x) = 3x – 2 (v) p(x) =…
3. Verify whether the following are zeroes of the polynomial, indicated against them. (i) (p(x)=3x+1), (x=-{1over 3}) (ii) (p(x)=5x-pi), (x={4over 5}) (iii) (p(x)=x^2-1), (x=1, -1) (iv) (p(x)=(x+1)(x-2)), (x=-1, 2) (v) (p(x)=x^2), (x=0) (vi) (p(x)=lx+m), (x=-{mover l}) (vii) (p(x)=3x^2-1),…
2. Find p(0), p(1) and p(2) for each of the following polynomials: (i) (p(y)=y^2-y+1) (ii) (p(t)=2+t+2t^2-t^3) (iii) (p(x)=x^3) (iv) (p(x)=(x-1)(x+1)) Polynomials Exercise 2.2 Previous Next Class 9 Polynomials Exercise 2.2 1. Find the value of the polynomial (5x-4x^2+3) at (i)…
1. Find the value of the polynomial (5x-4x^2+3) at (i) x=0 (ii) x=-1 (iii) x=2 Polynomials Exercise 2.2 Previous Next Class 9 Polynomials Exercise 2.2 1. Find the value of the polynomial (5x-4x^2+3) at (i) x=0 (ii)…
5. Classify the following as linear, quadratic and cubic polynomials: (i) (x^2+x) (ii) (x-x^3) (iii) (y+y^2+4) (iv) (1+x) (v) (3t) (vi) (r^2) (vii) (7x^3) Polynomials Exercise 2.1 Previous Next Class 9 Polynomials Exercise 2.1 1. Which of the…
4. Write the degree of each of the following polynomials: (i) (5x^3+4x^2+7x) (ii) (4-y^2) (iii) (5t-sqrt 7) (iv) 3 Polynomials Exercise 2.1 Previous Next Class 9 Polynomials Exercise 2.1 1. Which of the following expressions are polynomials in one variable…
3. Give one example each of a binomial of degree 35, and of a monomial of degree 100. Polynomials Exercise 2.1 Previous Next Class 9 Polynomials Exercise 2.1 1. Which of the following expressions are polynomials in one variable and…
