Question # 1

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0

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cot x

- cot x

cosec x cot x

-cosec x cot x

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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Common logarithmic

Natural logarthmic

Exponential

None of these

The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

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 )

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

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

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Bounded

Exist

Unbounded

None of these

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Lagrange

Newtown

Leibniz

Cauchy

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x = a

for all x

x = 0

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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60°

90°

30°

45°

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ICS Part 2 Mathematics Full Book Test Online MCQs With Answers

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