Question # 1

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

A square matrix A = [aij] is lower triangular matrix when

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aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

The minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

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The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

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Range of cosθis

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The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

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a cos(ax + b) + c

- a cos(ax + b) + c

What is the circular measure of the angles between the hands of which at 4 o clock

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π/6

3π/2

π/4

2π/3

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2

-2

none of these

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1

-1

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

The conic is a parabola if

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e < 1

e > 1

e = 1

None of these

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

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0

1

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Addition

Subtraction

Multiplication

None of these

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

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