Question # 1

If a +b +c =0 then which of the following is true

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a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

The set {0,-1} hold closure property under

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Addition

Both a & c

Multiplication

None of these

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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2

6

The point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

The value of the expression sinθ+ cosθlies between

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Range of 3 cot x is ______

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[-1, 1]

[-3, 3]

R

None of these

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If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

The line joining (1,3) to (a,b) has unit gradient then

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a-b =-2

a+b = 0

A-b =5

2a + 3b =1

If x² +y² = 4, Then dy/dx =

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2x +2y

4 -x²

-x/y

y/x

In the function v = 4/3 π r³, V is a function of

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3/4

r

v

π

Sec^-1 x=

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Cos^-1 1/x

Cosec^-1 1/x

Cos-1 (-x)

Tan^-1 x

Which is an explicit function

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y = x² +2x -1

x² +xy +y² =2

xy² -y +9/xy =1

All are

If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is

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12

8

16

1

A die is thrown what is the probability that there is a prime number on the top?

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1/2

1/3

1/6

2/3

Which is a proper rational fraction

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3x - 7/x² +4

2x² - 5/x² + 4

3x⁴/2x² - 15

All are proper rational fraction

∫1/ax +b dx =

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1/a log |ax + b| +c

Log |ax + b| +c

1/b log |ax +b| +c

1/x log |ax + b| +c

The end points of the major axis of the ellipse are called its

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foci

Vertices

Co-vertices

eccentricity

The set of complex numbers forms a group under the binary operation of

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0

±1

1

{0,1}

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