Question # 1

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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The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

General solution of tan 5θ= cot 2θis

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The span of a standard parabola depends upon

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x

a

y

y2

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If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

The number of x-intercepts of y= sin x in his period

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0

1

2

3

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1

0

-2

3

The value of sin [ arc cos (-1/2)] is

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Period of cosec x 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

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is

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an ellipse

a hyperbola

a circle

a parabola

∫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

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

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Multiplication property

Additive property

Trichotomy property

Transitive property of inequality

The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

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In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

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Period of sin x is

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If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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The negative square root of 9 can be written as:

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-√9

√9

√18

-√18

For Cosine Rule of any triangle ABC, b²is equal to

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a²- c²+ 2ab cos A

a³+ c³- 3ab cos A

a²+ c²- 2ac cos B

a²- c²4bc cos A

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

No term of a geometric sequence can be

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0

1

2

3

A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

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