Question # 1

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

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0.4cm

8.8πcm

17.6 πcm

35.2πcm

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

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

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16

30

8

32

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

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0

3

9

-3

Every irrational number is

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A real number

A prime number

A natural number

An integer

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

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sin²αcos²α=

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-1

0

1

None of these

Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

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

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

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The slope of x-axis is

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0

undefined

1

If s = 2t³- 3t²+ 15t - 8 is the equation of motion of a particle, then its initial velocity is

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8

15

-6

None

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5

-5

none

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

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

Which of the following is a vector

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length

momentum

volume

speed

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a f(x) + c

f(x) + a

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The roots of the equation 2^2x- 10.2^x+ 16 = 0 are

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2, 8

1, 3

1, 8

2, 3

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1

3

2-i

-1

The range of the tangent function is

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all real numbers

-1 ≤ x ≥ 1

natural number

z⁺

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Right angled

Obtuse angled

Isosceles

Equilateral

Domain of cosθis

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Set of odd numbers

Set of integers

Set of real numbers

Set of complex numbers

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

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(0,0)

(1,1)

(2,2)

(3,3)

The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet

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x =0

y =0

x =-9

y = -a

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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