Question # 1

If three points lie on the same line, then these points are called:

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collinear

non-collinear

parallel

unparallel

In a right angled triangle, with right angle is at C, then Pythagoras theorem is:

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a²=b²+c²

c²=a²+b²

b²=a²+c²

All of these

Center of a circle is on the right bisector of each of its ________.

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Chords

Circumference

Radius

Centre

Diagonals of a parallelogram divides the parallelogram into two ______ triangles:

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Congurent

Right angled

Acute angle

Isosceles

A triangle having two sides equal is called:

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Scalene

Equilateral

Isoceles

None of these

If sum of two angle is 180°, then these are called:

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Vertical

Supplementary

Complementary

Adjacent

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5

4

2

3

The idea of matrices was given by:

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Leibniz

Cauchy

Arthur Cayley

Newton

__________ triangle is an equilateral triangle:

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Right triange

Scalene

Equilateral

Isoscless

In a triangle, there can be ________ right angle (s):

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Atleast one

Almost one

Two

No

We can prove a triangle as right angle triangle by ______ theorem:

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Pythagoras

Factor

Remainder

Rotational root

The ratio of 1km to 600m is:

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1 : 6

5 : 3

3 : 2

2 : 1

Sum roots of 4x²-3x+6=0:

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A part of circumference of a circle is called.

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Radians

CFhord

Sector

Arc

Venn diagram was first used by......................

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John Venn

Netwon

Arthur Cayler

John Napier

On the basic of types of variable of data, the types of frequency distribution are.

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2

3

4

5

If Tanθ=1 then Sinθ= ____________ whenθ lies in 3rd quadrant.

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1/2

-1/2

-1/√2

1/√2

1/1+Sinθ+ 1/1- Sinθ

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2 Sec²θ

2 Cos²θ

Sec²θ

Cosθ

The union of two non-collinear rays with common end point is called a/an:

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Ray

Side

Angle

Vertx

The concept of antilogarithm is used to find the value of..............

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A.M.

G.M.

H.M

Mode

The number of time a value appears on a set of data is called:

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Frequency

Average

Mode

Median

90 degree makes ______ right angle:

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2

4

1

3

The distance between the points P(x1, y1) and Q(x2, y2) is:

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The additive inverse of a matrix A is:

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A

A^-1

- A

A²

The series 3 + 33 + 333 + ...... is:

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A.P

G.P

H.P

none of these

No. of arrangements of the letters of the word plane taking all letters at a time:

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5

1

none

A - B is a subset of:

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A

B

(a+b) x = ax + bx is:

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If a_n = (n + 1) a_n-1, a₁ = 1, second term of the sequence is:

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3

1

2

4

{2, 4, 6, 8, ...........} represents the set of:

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positive odd numbers

natural numbers

prime numbers

positive even numbers

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r₁

r₂

r₃

r

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1 + cos Θ

1 - cos Θ

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

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Integral

Indefinite integral

Differential

Definite integral

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

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Left

Upward

Right

Downward

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

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Circle

Parabola

Hyperbola

Ellipse

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

None of these

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative