Question # 1

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

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3 x 3

3 x 2

2 x 5

5 x 2

A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is

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none of these

The magnitude of vector a 2i-7j is

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√23

√43

3

√53

The conic is a parabola, when:

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ᵨ > 1

ᵨ < 1

ᵨ = 1

ᵨ = 0

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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30°

45°

60°

75°

By expressing sin 125° in terms of trigonometrical ratios, answer will be

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sin 65° = 0.9128

sin 55° = 0.8192

sin 70° = 0.5384

sin 72° = 0.1982

A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

The general equation of a circle is

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Additive property of inequality

Commutative property

Additive inverse

Additive identity

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36

360

24

6

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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real number

complex number

rational number

irrational number

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

1 + 2 + 3 + ...... + n = ______

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w⁷³= ______

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0

1

w

w²

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

General solution of tan 5θ= cot 2θis

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Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

Roots of the equation x²- x = 2 are

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{2, -1}

{1, 0}

{2, 1}

{-2, 1}

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30°

60°

45°

None of these

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