Question # 1

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

tan (-135°) = ______θ

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0

1

2

3

Period of Cotangent function is

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π

-π

0

-2π

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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0

-1

1

1/2

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The set {-1, 1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

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The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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Addition

Multiplication

Division

Both addition and multiplication

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A = C

A = B

B = C

None of these

The roots of px2 - (p-q)x-q=0 are

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equal

Irrational

Rational

Imaginary

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A

B

A'B'

B'A

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

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0

Independent of a

Independent of b

Independent of c

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

The equation of the directrix of the parabola x²= 4ay is

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x + a = 0

x - a = 0

y + a = 0

y - a = 0

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

∫x sin xdx is equal to:

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sin x/x + cos x

sin x - cos x/x

x cos x + sin x

- x cos x + sin x

The Principal value of sin-1 (-1/1/2)

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π/2

-π/2

π

-π

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

(a^-1)^-1=

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a^-1

a

-a

None of above

(n + 2) (n + 1) n= ______

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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 students enrolled for English cannot 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

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40

30

50

20

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