Question # 1

The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

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The multiplicative inverse of 1 is

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1

-1

0

Does not exist

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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a cosec(ax + b) + c

- a cosec(ax + b) + c

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

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A

0

Unit vector

None

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

The area of circle of unit radius =

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0

1

4

π

The period of 2 cos x is

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30π

7π

5π

2π

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The distance of the point (1.1) from the origin is

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0

2

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2x cos x2

2sinxcosx

- sin x2

2x sin x2

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

The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 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

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I and III quadrants

II and III quadrants

I and II quadrants

II and IV quadrants

Period of 3 sin x is ______

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sin 540° =

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0

1

2

3

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Rank of matrix [1 3 5 0] is

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1

3

2

4

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

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none of these

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

The domain of the principal tan function is

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Geometric mean between a and b is

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Roots of the equation x²+ 2x + 3 = 0 are

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Real and equal

Real and distinct

Complex

None of these

The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

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