Question # 1

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

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A rule that assigns to each elements x in X a unique element y in Y is called a ____________

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domain

range

function

none of these

1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

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A finite set

An infinite set

An empty set

None of these

If sin A = cos A, 0°<A<90° then A is equal to

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1

1/2

0

None of these

(51)⁴is equal to

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7065201

8065201

6765201

6565201

2π+θwill have terminal side in Quad

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I

II

III

IV

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

The point of contact of the circles x²+ y² - 6x -6y+10 = 0 and x² + y² =2 is

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(-3 ,2)

(1 , 3)

( -2 , -1)

None of these

The multiplicative inverse of 2/3 is

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3/2

-2/3

-3/2

1

Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

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The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

3/4 is ______

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An odd number

An even number

A natural number

A rational number

Every real number is

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a positive integer

a rational number

a negative integer

a complex number

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9

-9

0

1

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The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

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Rational

Irrational

Even

Odd

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15

9

7

8

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cos(3π/2 +θ) = _____;

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sinθ

cosθ

-sinθ

-cosθ

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