ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1
2
3 The condition for polynomial equation ax2+ bx + c = 0 to be quadratic is
4 9/4 4/9 1 None of these
5 2s<sup>2</sup> 2s<sup>3</sup> s<sup>3</sup> 3s<sup>3</sup>
6 K/6 2K 3K 6K
7 Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
8 0 Independent of a Independent of b Independent of c
9 0 abc 1/abc None of these
10
11 Orthogonal Involutary Idempotent Nilpotent
12 a = 4, b = 1 a = 1, b = -4 a = 0, b = 4 a = 2, b = 4
13
14 Symmetric Skew-symmetric Hermitian Skew hermitian
15 4A - 3I 3A - 4I A - I None of these
16 A(<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>) - A(<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span>) A(<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>) + A(<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span>) A(<i style="text-align: center;">α</i>-<i style="text-align: center;">β</i>) A(<i style="text-align: center;">α</i>+<i style="text-align: center;">β</i>)
17 6, -12, -18 -6, 4, 9 -6, -4, -9 -6, 12, 18
18 The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is 3 x 3 3 x 2 2 x 5 5 x 2
19 0 1 2 4
20 If the trace of matrix A is 5, then the trace of the matrix 3A is 3/5 5/3 8 15
21 If for the matrix A, A5= I, then A-1= A<sup>2</sup> A<sup>3</sup> A None of above
22 I |A| |A| I None of these
23 For a square matrix A, if A = At, then A is called matrix Transpose Symmetric Non-symmetric
24 If A = [aij] is (m x n) matrix, then transpose of A is of the order m x m m x n n x n n x m
25 We also the system of non-homogeneous linear equations by a and b b and c c and a a, b and c
26 Trival solution of homogeneous linear equation is (0, 0, 0) (1, 2, 3) (1, 3, 5) a, b and c
27 For non-trival solution |A| is A = 0 A<sup>t</sup>= 0 |A| = 0 None of these
28 For trival solution |A| is A |A| is non zero A = 0 None of these
29 System of linear equations is inconsistent if System has no solution System has one solution System has two solution None of above
30 An equation of the form ax + by = k is homogeneous linear equation when:
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