Question # 1

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

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Linear Inequalities

Feasible regions

Half planes

Boundary

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

The point of concurrency of the medians of a triangle is called

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incentre

circumcentre

e-centre

centroid

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The law of sines

The law of consines

The law of tangents

None of these

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

If (2, 3) is the mid point of (a, 3) and (5, b) then

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a = 1 , b = -3

a = -1 , b = 3

a = 1 , b =3

a = -1 , b = -3

The sixth term of the sequence 1,3,12,60....is

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1500

72

2160

2520

The additive inverse of a matrix A is

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None of these

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

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4x + 1

4x

2x³

none of these

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

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1

1/2

0

None

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

Period of sin 3x is ______

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A^-

A^t

-A

A

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additive property

multiplicative property

additive inverse

additive identity

Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is

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2 / 19

3 / 29

17 / 19

4 / 19

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I3

rI3

r

none

The range of the principle cos function is

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The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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Sand falls from a tube in such a way that it forms a cone whose height is always 4/3 times the radius of its base and radius of the base increases at the rate of 1/8 cm/sec. When this radius is 1 meter, the rate at which the amount of sand increases is

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x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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