NAT I Engineering Mathematics With Answers

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NAT I Engineering Mathematics

Sr. # Questions Answers Choice
1 The cube roots of unity ω = ------------------------- 1-i √-3 / 2 -1+i √-3 / 2i -1+i √3 / 2 1+i √3 / 2
2 One of the roots of the equation 2x2 + 3x + n = 0 is the reciprocal of the other, then n = -------------------- Both A,B have the same number of columns Both A,B do not have the same order Number of col A is same as number of rows of B Number of rows of A is same as number of col of B
3 The degree of the polynomial 2x4 + 3x2 + 16x + 28 = x4 + 2x2 is [a<sub>ij - </sub>b<sub>ji</sub>] [a<sub>ij -&nbsp;</sub>b<sub>ij</sub>] [a<sub>ij -&nbsp;</sub>b<sub>ij</sub>] [a<sub>ij] - [</sub>b<sub>ij</sub>]
4 If α and β be irrational roots of a quadratic equation, then α = b/a and&nbsp;β = ca α = a/b and&nbsp;β = -c/a α<sup>2</sup> +&nbsp;β<sup>2</sup> = 1 α = -b/a and&nbsp;β= c/a
5 An m x n matrix is said to be rectangular if Forms a group w.r.t. addition Non commutative group w.r.t. multiplication Forms a group w.r.t. multiplication Doesn't form a group
6 If the order of A is n x m. Then order of kA is Forms a group Does not form a group Contains no additive identity Contains no additive inverse
7 If A and B are matrices such that AB=BA=I then A and B are multiplicative inverse of each other A and B are additive inverses of each other A and B are singular matrices A and B are equal
8 If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is True False Fallacious Some times true
9 In general matrices do not satisfy Not a group A group w.r.t. subtraction A group w.r.t. division A group w.r.t. multiplication
10 If A and B are matrices of same order than (A + B)(A + B)= addition multiplication subtraction None
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