Question # 1

Transpose of A is denoted by:

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-A

A

A^t

(A^t)^t

The symbol used for 1 - 1 correspondence is:

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The _______ of a right angle triangle is longer than each of the other two sides:

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Hypotenuse

Base

Perpendicular

None of these

The knowledge of construction of different triangles, rectangles, square etc is very useful in:

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Wood - Working

Graphic art

Metal trade

All of these

The symbol used for angle is:

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Ordinary notation of 7.61 x 10^-4 is:

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0.000761

0.761

76100

0.0000761

If the square of one side of a triangle is equal to the sum o the squares of the other two sides then the triangle is a ___________:

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Acute

Right

Obtuse

Scalene

The diagonals of a parallelogram _______ each other:

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Bisect

Trisect

Bisect at right angle

None of these

A quadrilateral having each angle equal to 90° is called __________:

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Parallelogram

Rectangle

Trapezium

Rhombus

Diagonal of Parallelogram divides it into two _______ triangles:

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Congruent

Not congruent

Not equal

None of these

Which of the following is closure property w.r.to multiplications:

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a + b∈ R∀ a, b∈ R

a. b∈ R∀ a, b∈ R

a + b = b + a∀a,b∈ R

a.b = b.a∀a,b∈ R

Area of ΔABC = :

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1/2(base)(altitude)

2(base)(altitude)

1/2 x base/altitude

(base)(altitude)

The measure of a central angle of minor arc of a circle is _______ that of the angle substends by corresponding major arc:

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Half

Equal

Double

Triple

If A⊆ B then A∪ B is equal to

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A

B

∅

None of these

The length of two common tangents to two circles are _____ to each other:

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Perpendicular

Equal

Parallel

Un-equal

tan 60^o = ...............

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1/2

√3/2

√3

1/√3

How many tangents can be drawn from a point outside the circle ?

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1

2

3

Factors of x²-x-2=0 are:

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(x-1)(x+2)

(x-1)(x-2)

(x+1)(x+2)

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214

256

273

296

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2

1

0

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9

7

5

3

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

2 sin α cos ß =

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sin (α + ß) - sin (α - ß)

cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

cos (α + ß) - cos (α - ß)

In a triangle ABC b = √3, c = 1, α = 30° then a = :

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2

1

3

-1

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scalarmatrix

diagonalmatrix

lower triangularmatrix

uppertriangularmatrix

In a triangle ABC, (s - a)(s - b) = s(s - c), then the angle Γ =

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i

If the initial side of an angle is the positive x-axis and the vertex is at the origin, the angle is said to be in the _____________:

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initial position

finalposition

normalposition

standardposition

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If a_n-3 = 2n - 5 then a_n =

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2n-1

2n+1

2n+3

none

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a is an element of a set A

a is subset of A

a is a whole number

a contains A

If A = [a_ij], B = [b_ij] and AB = 0 then:

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A = 0

B = 0

either A = 0 or B = 0

A & B not necessarily zero

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

If f(x) = |x|, f(x) is a:

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Constant function

Absolute function

Linear function

Quadratic function

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

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2

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

The radius of circle x² + y² + ax + by + c = 0 is:

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None

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French