Question # 1

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

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

The multiplicative inverse of 1 is

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1

-1

0

Does not exist

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

a.a^-1= a^-1.a = 1 is a

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Commutative law of multiplication

Multiplication identity

Associative law of multiplication

Multiplication inverse

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

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0

1

2

1/2

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The sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

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15

15 i

-15 i

-15

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is

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an ellipse

a hyperbola

a circle

a parabola

∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

One degree is denoted by

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1⁰

1'

1"

1 rad

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

A function from X to Y is written as

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f : X to Y

f : Y to Y

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The law of sines

The law of consines

The law of tangents

None of these

Period of cot x is ______

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Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

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perpendicular vectors

parallel vectors

concurrent vectors

none of these

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For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

The inclination of a line parallel to y-axis is

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A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

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