Question # 1

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

The angle between the vectors 3i + j - k and 2i - j + k is

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I andII quadrants

II andIII quadrants

III andIVquadrants

none of these

The general equation of a circle is

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The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

The equation of the circle with centre (-h, -k) and radius r is

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(x +h)²+ (y+k)²= r²

(x +h)²+ (y-k)²= r²

(x -h)²+ (y+k)²= r²

(x -h)²+ (y-k)²= r²

Arithmetic mean between 14 and 18 is

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16

17

15

32

For all points (x,y) in second quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

The perpendicular bisector of any chord of a circle

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Passes through the centre of the circle

Does not pass through the centre of the circle

May or may not pass through the centre of the circle

None of these

Probability of an impossible event is

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0

-1

1

∞

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Singular

Non-singular

Adjoint

None of above

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

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y : x

x : y

-y : x

-x : y

The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

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0

1

-1

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

30° = ______

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Additive inverse of - a - b is

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a

-a + b

a - b

a + b

Range of cosecθis

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W - {y | -1 < y < 1}

R - {y | -1 < y < 1}

O - {y | -1 < y < 1}

R

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The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

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Straight line

Circle

Hyperbola

Symmetric w.r.t.0

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