Question # 1

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

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

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Directrix

Vertex

Focus

Chord

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

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

Area between x-axis and the curve:

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32

16

The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

None of these

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0

1

-1

2

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0

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

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Lagrange

Newtown

Leibniz

Cauchy

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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tan x

cot x

- tan x

- cot x

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