Question # 1

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

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(-3,10)

(-3,-10)

(3,10)

(3,-10)

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

A,G,H are in

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A.P

G.P

H.P

None of these

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

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The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

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Which of the following is a vector

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length

momentum

volume

speed

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

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a²b²c²

4a²b²c²

4abc

None

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

The slope of y-axis is

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0

undefined

1

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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an A.P.

a G.P.

a H.P.

None of these

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1

2

3

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

The area of the circle centred at (1,2) and passing through (4,6) is

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30 πsq.units

5π sq.units

15π sq.units

25π sq.units

The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

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m x m

m x n

n x n

n x m

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tan 3x + c

cot 3x + c

- cot 3x + c

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1

-i

i

0

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

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1:2

3:2

2:3

2:1

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perpendicular vectors

parallel vectors

concurrent vectors

none of these

The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

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