Question # 1

Let f(x) = cos x, then f(x) is an:

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Even function

Odd function

Power function

None of these

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

The equation of the latus-rectum of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = -a

The point of intersection of the perpendicular bisectors of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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f(x² + 1)

f(x)

f(x²)

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3

4

5

6

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sin x

cos x

-sin x

-cos x

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

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

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y = 5

y = 3

y = -4

y = 4

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

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

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

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4, -4

0

2, -2

0, 4

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

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Ics Part 2 Mathematics Test Online MCQs With Answers

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