Question # 1

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

probability of a certain event is

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0

-1

1

∞

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Proper fraction

Improper fraction

Rational fraction

None of these

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

(a^-1)^-1=

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a^-1

a

-a

None of above

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

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If a polynomial P(x) is divided by x - a, then the remainder is

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P(o)

P(-a)

P(a)

None of these

In a triangle if a > 45°,β > 30° then y cannot be

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90°

100°

10°

120°

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all are correct

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

Cos 0° = ______

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-1

0

1

Undefined

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none of these

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a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

Sin 45° = ______

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f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

∫Sec² (ax + b) dx is equal to:

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tan² (ax + b)

1/a tan² (ax + b)

1/atan (ax +b)

tan (ax + b)

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

The value of n, when ⁿP₂= 20 is

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3

4

6

5

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

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If A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

If x - 1 is a factor of x4 - 5x2 + 4 then other factor is

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(x + 2)2(x - 1)

(x + 2)(x - 1)2

(x+2)(x2- x- 2)

(x + 2)2(x - 1)2

(2 + w) (2 + w²) = ______

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1

2

3

0

The set { 1 , -1} is closed w.r.t.

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Addition

Multiplications

Subtraction

None of these

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