Question # 1

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The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

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

The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

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The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

In (x + iy) x is the known as

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Imaginary part of complex number

Real part of complex number

Complex number

None of above

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a²b²c²

4a²b²c²

4abc

None

The inclination of a line parallel to y-axis is

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A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

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

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0

1

2

3

{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

The mid point of the line joining the points P(x₁, y₁) and Q(x₂, y₂) is

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Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

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202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

A square matrix A = [aij] is lower triangular matrix when

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aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

(2 + w) (2 + w²) = ______

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1

2

3

0

The additive identity of real number is

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1

2

1/2

0

Which of the following integrals can be evaluated

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The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

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(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

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Wholw number

Prime number

Even number

Odd number

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