Question # 1

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

The point (x₁, y₁) lies outside the circle x²+ y²+ 2gx + 2fy + c =0 if

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The distance between the points (2, 2) and (3, 3) is

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10

5

2

If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

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[a.b.c]

2[a,b,c]

[abc]-2

2[abc]2

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

(7,9) +(3,-5) =

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(4,4)

(10,4)

(9,-5)

(7,3)

An equation which holds good for all values of variables is called

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Equation

Conditional equation

Constant

None

If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

Which of the following has the same value as i113

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i

-1

-i

1

The distance between the points (0 , 0) and (1, 2) is

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5

0

3

If one root of the equation x²- 3x + a = 0 is 2 then a = ______

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0

1

2

3

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

The sum of all 2 digit number is

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4750

3776

4895

4905

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

General solution of tan 5θ= cot 2θis

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(a^-1)^-1=

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a^-1

a

-a

None of above

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3

2

8

0

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

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45

30

25

50

The law of sines is

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5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

The distance between the points (0 , 0) and (2, 1) is

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5

0

3

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

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The number of standard parabolic functions are is

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4

2

3

1

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