Question # 1

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

For any point (x, y) on x-axis:

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y = 1

y = 0

y = -1

y = 2

Sir Isaac Newton was a(an) --------- mathematician.

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German

French

Swiss

English

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

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Abscissa

Ordinate

Coordinate axes

None of these

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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0

1

2

4

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

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[0]

[0, 0]

[0, 0, 0]

None of these

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

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

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Ellipse

Parabola

Hyperbola

Circle

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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Position vector of O

Position vector of P

Unit vector

Null vector

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x| + c

ln |cosec x + cot x | + c

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