Question # 1

loge = ____________ where e = 2.718:

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0

0.4343

infinity

1

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

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The logarithm of any number consist of parts:

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Three

Four

One

Two

The S.S of |x-4| = -4 is:

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-8⁴

8

-16

{ }

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Necesarily

Not necessarily

Must be

None of these

HCF of a²-b² and a³-b³ is:

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a-b

a+b

a²=ab+b²

a²-ab+b²

The medians of a triangle cut each other in the ratio_____________:

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1:4

1:3

1:2

1:1

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1-by-3

3-by-1

3-by-3

2-by-2

A line is called _______ of a line if it bisects perpendicularly.

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Angle Bisector

Perpendicular Bisector

Median

Altitude

H.C.F of x²-4 and 2x²+x-6:

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(x-2)

(x+2)

(2x-3)

(x+2)(2x-3)

Point (-1,4) lies in quadrant:

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I

II

III

IV

7-7h = 0, then h = :

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7

1

0

49

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Tangents drawn at the ends of _______ of a circle are parallel to each other:

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Chord

Diameter

Corners

Arc

The portion of circumference of a circle is:

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Radius

Chord

Arc

Segment

Standard deviation is denoted by

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x

S

S²

X²

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1

If A and B are two disjoint sets then A⋃ b = ______

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A

B

∅

B⋃ A

Cot 45°=_______

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1/2

-1/2

1/√2

1

The fourth proportional w of x : y::v : w is:

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xyv

Locus of a point in the plane equidistant from a fixed point is called:

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Radius

Circle

Circumference

Diameter

x2 - 5x + 6 = 0 is:

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Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

The period of 2 - sin 3x is:

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No. of triangles can be formed by joining the vertices of the polygon having 12 sides ?

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202

220

110

none of these

The range of y = cos^-1 x function is:

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

Numbers are formed by using all the digits 1, 2, 3, 4, 5, 6 on digit being repeated, then the numbers which are divisible by 5 are:

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110

120

122

124

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The ordered pairs (2, 5) and (5, 2) are:

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not equal

equal

disjoint

empty

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0

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

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x - axis

z - axis

y - axis

None of these

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

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Position vector of O

Position vector of P

Unit vector

Null vector

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0

1

-1

2