Question # 1

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

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BA

A²

AB

B²

cos2a=______;

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cos2 a-sin2 a

2cos2 a-1

1-2 sin2 a

All of these

The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

Cos (α+β) - cos (α-β) =

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-2 sinα sinβ

2 sinαcosβ

-2 sinαcosα

4 sinα cosβ

The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

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Every natural number is

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A prime number

An irrational number

An integer

An even number

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

cos 315° = ______

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2

4

8

12

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

E-radius corresponding to < B is

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The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

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real number

complex number

rational number

irrational number

If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

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1,2

-1,-2

2,-1

-2,1

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics.