Question # 1

Geometric mean between a and b is

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Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

Which of the following sets has closure property w.r.t. addition

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{ 0 }

{ 1 }

{ 0, -1}

{ 1, -1}

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

Through how many radians does the minute hand of a clock turn in one hour

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The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

I f a =5i + 2j, then|a| =

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√13

√7

1/√13

√29

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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25

16

5

0

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16

None of these

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

x²+ x - 5 = 0 is

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A polynomial

An inequality

An identity

None

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = -1

X = -2, y=1

X = 2, y = -1

X = 2, y = 2

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The law of of sines

The law of tangents

The law of consines

None of these

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The law of consines

The law of sines

The law of tangents

None of these

The slope of the normal at (5 cos, 0, 5 sin 0) to the circle. x²+y² = 25 is:

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tan𝜽

cos𝜽 /sin𝜽

-cot𝜽

- tan𝜽

For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

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x³

3x²

3x

3

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0

1

-1

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

If f(x) = tan x then f(0) is

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0

1

1/2

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

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