NAT II Physical Science Mathematics With Answers

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NAT II Physical Science Mathematics

Sr. # Questions Answers Choice
1 1 2 3 4
2 1 2 3 4
3 Ifα andβ be irrational roots of a quadratic equation, then
4
5
If A and B are matrices such that AB=BA=I then
<div>A and B are multiplicative inverse of each other</div> <div>A and B are additive inverses of each other</div> . A and B are singular matrices A and B are equal
6
If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is
Same as the original determinant <div>Additive inverse of the original determinant</div> Both A and B Adj of the original matrix
7 In general matrices do not satisfy Commutative law w.r.t multiplication Associative law w.r.t addition Distributive law w.r.t addition Multiplication of a scalar with the matrix
8
If A and B are matrices of same order than (,A + B)(A + B) =
A<sup>2</sup>+ B<sup>2</sup> A<sup>2</sup>+ B<sup>2</sup>+ 2AB A + B A<sup>2</sup>+ B<sup>2</sup>+ AB + BA
9 Unit matrix Diagonal matrix Nilpotent matrix Zero matrix
10 Nilpotent matrix Singular matrix Non singular matrix Diagonal matrix
11
Two matrices A and B are conformable
for multiplication (AB) if and only if
<div>Both A,B have the same number of columns</div> <div>Both A and B do not have the same order</div> <div>Number of col A is same as number of rows of B</div> <div>Number of rows of A is same as number of col of B</div>
12 The multiplicative inverse of -1 in the set {1-, 1} is 1 -1 <u>+</u>1 0
13 The set of complex numbers forms a group under the binary operation of Addition Multiplication Division Subtraction
14 The graph of a quadratic function is Circle Ellipse Parabola Hexagon
15 The set of the first elements of the ordered pairs forming a relation is called its Function on B Range Domain A into B
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