Question # 1

A triangle having all sides different is called:

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None of these

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

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-8⁴

8

-16

{ }

Factors of a⁴-4b⁴ are:

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(a-b),(a+b),(a2+4b²)

(a²-2b²),(a²+2b²)

(a-b),(a+b),(a^2-4b²)

(a-2b),(a²+2b²)

If two triangles are similar, then their corresponding sides are:

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Proportional

Equal

Unproportional

Inversely proportional

HCF of a³+b³ and a²-ab+b² is:

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a+b

a²-ab+b²

(a-b)²

a²+b²

A triangle has _____ angles:

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1

2

3

4

Every polynomial is _______ expression:

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Complex

Real

Rational

Irrational

log_aa= :

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0

1

-1

10

HCF of 5x²y² and 20x³y³ is:

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5x²y²

20x³y³

10x⁵y⁵

5xy

The point of concurrency of the three altitudes of a triangle is called:

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Centroid

Orthocenter

Circumcentre

Incentre

The line that passes through centre and touches a circle at two points is called:

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Diameter

Radius

Arc

Corners

Sin²θ + Cos²θ = ______________________________:

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Sinθ

Cosθ

1

2

In a class of frequency distribution 14 - 18, the 18 is:

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Upper class limit

Lower class limit

Class interval

All of these

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

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A - B

A^c

A∩ B

B^c

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A quadratic equation has:

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Two roots

Three roots

Fourroots

Fiveroots

20^o= ..............................

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360^o

630^o

1200^o

3600^o

O∪ E = ................

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∅

O

E

Z

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If the rotation of the ray is clock wise, the angle has ________ measure:

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Degree

Negative

Positive

Standard

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

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John Venn

Netwon

Arthur Cayler

John Napier

A circle drawn inside a triangle and touching its sides is known as:

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Reflexive property

Symmetricproperty

Transitiveproperty

Trichotomyproperty

If S is a sample space and event E is S then P(E) is:

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0

1

>1

none

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No. of arrangements can be made of 4 letters a, b, c, d taken 2 at a time ?

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8

12

10

14

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equal sets

null sets

overlapping sets

subsets

A die is rolled. The probability that the dots on the top are greater than 4 is:

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5, 6

1

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none of these

The ration of the sum and product of roots of 7x² - 12x + 18 = 0 is:

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7:12

2:3

3:2

7:18

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

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2

1

3

-1

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x-axis

y-axis

y = x

y = -x

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cos x + c

- cos x + c

sin x + c

-sin x + c

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

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

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90°

30°

60°

0°

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integration by parts

definite integral

Differentation

None of these

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

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0

1

-1

undefined

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

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