Question # 1

The rectangular array of numbers enclosed by a pair of brackets is called:

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Determinants

Matrix

Set

Solution set

The distance between a line and a point lying on it is ________

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Perpendicular

5cm

Shortest

Zero

A triangle having all sides different is called:

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None of these

The Medians of an equilateral triangle are __________ in measure:

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Different

Unequal

Equal

None

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Equitation

Identity

Inequality

Linear equation

In a scalene triangle, the angle opposite to the largest side is of measure greater than ___________.

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40°

50°

45°

60°

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5

1/2

7

1/7

The conjugate of 5 + 4i is

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-5 + 4i

-5 - 4i

5 - 4i

5 + 4i

How many (1-------1) correspondence can be established between two triangles:

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3

4

5

6

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[-13]

[-3]

[3]

[13]

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Natural number

Whole number

integers

Rational numbers

Tan 180° =

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0

1

Not defined

-1

If x∈ U and x∉ A, then {x} is equal to ....................

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U^c

A^c

∅^c

A - U

The arcs opposite to incongruent central angles of a circle are always:

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Congruent

Incongruent

Parallel

Perpendicular

The complement of∅ is...........

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∪

∅

Impossible

Union

The number of elements of the power set {a,b} are.

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1

2

3

4

The ratio of 1km to 600m is:

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1 : 6

5 : 3

3 : 2

2 : 1

If the angles subtended by two chords of a circle (or congruent circles) at the centre (corresponding centre) are equal, the ______ are equal:

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Lines

Segments

Chords

Arcs

The positive square root of mean of the squared deviations of x_i(i=1, 2---------------------,n) observations from their arithmetic mean is called:

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Harmonic mean

Range

Standard deviation

The decimal degrees of 25°30' is:

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25.2°

25.3°

25.4°

25.5°

If 't' is the radius of a circle, then its circumferienc is.

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π/2r

πr

2πr

4πr

π/2 radians =.....................

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30^o

45^o

60^o

90^o

r₃ =

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2

4

6

8

If a matrix A is symmetric as well as skew symmetric, then:

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A is null matrix

A is unit matrix

A is triangular matrix

A is diagonal matrix

In a simultaneous throw of two dice, The probability of getting sum 3 or 11 is:

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none

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 circular system the angle is measured in:

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radians

degrees

degrees, minutes

degrees, seconds

If sin Θ + cosec Θ = 2, then sin² Θ + cosec² Θ =

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2

4

0

8

If one root of 2x² + ax + 6 = 0 is 2 then the value of a is:

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7

-7

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x-axis

y-axis

y = x

y = -x

Range of the function y = tan^-1 x is:

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4

16

8

64

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

If the lien l is parallel to y-axis, then the slope of l is ----------------.

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0

1

-1

undefined

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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

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Left

Upward

Right

Downward

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

Two real and distinct tangents can be drawn to a circle from any point P(x₁, y₁) ______ the circle:

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Inside

On

Outside

None of these