Question-1 :-
Evaluate the determinants :
|A| = -2 - (-20) = -2 + 20 = 18
Question-2 :-
Evaluate the determinants:
(i) |A| = cos2θ - (-sin2θ) = cos2θ + sin2θ = 1 (ii) |B| = (x2 - x + 1)(x + 1) - (x - 1)(x + 1) = x3 + x2 - x2 - x + x + 1 - (x2 - 1) = x3 + 1 - x2 + 1 = x3 - x2 + 2
Question-3 :-
Question-4 :-
Question-5 :-
Evaluate the determinants :
(i)![]()
(ii)![]()
(iii)![]()
(iv)![]()
Question-6 :-
Question-7 :-
Find values of x, if
(i) 2 - 20 = 2x2 - 24 -18 + 24 = 2x2 6 = 2x2 x2 = 3 x = ±√3 (ii) 10 - 12 = 5x - 6x -2 = -x x = 2
Question-8 :-
(A) 6 (B) ±6 (C) -6 (D) 0
x2 - 36 = 36 - 36 x2 - 36 = 0 x2 = 36 x = ±6 The correct answer is B.