Question # 1

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X = 100 sinθ

X = 10 sinθ

X = 100 secθ

None of these

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

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The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

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m x m

m x n

n x n

n x m

A fixed point which lies on the axis of the cone is called its:

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axis

apex

plane

diameter

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none of these

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

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E-radius corresponding to < C is

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The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

The function sine and Cosine have the closed internal as their range

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[1, 0]

[-1, 1]

[0, 1]

[-1, 2]

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If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

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1

7

4

None of these

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

The additive inverse of 0 is

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1

-1

0

Does not exist

The slope of y-axis is

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0

undefined

1

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sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

Cos 0° = ______

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-1

0

1

Undefined

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There are ______ types of rational fraction

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Three

Four

Five

Two

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ECAT Pre General Science Mathematics Online Test MCQs With Answers

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