Question # 1

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____

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12

8

24

-24

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The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

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0

1

undefined

Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

The set of natural no. is closed under

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multiplication

subtraction

difference

division

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

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2

4

8

16

The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

For two vector a and b, a+b = _______

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a b

b+a

b-a

None

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Associative law of multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

Which of the following is a vector

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length

momentum

volume

speed

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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Area ofΔABC=

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ab sinα

1/2 ab sinα

1/2 ac sinγ

1/2 ac sinβ

What is the number of elements of the power set of { }

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0

1

2

3

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is

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1 / 3

8 / 15

5 / 13

5 / 9

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

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