Question # 1

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

If a straight line is perpendicular to x-axis, then its slope is:

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0

1

2

Undefined

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Implicit

Explicit

Exponential

Logarithmic

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

The system of _________ involved in the problem concerned is called problem constraints:

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Linear inequalities

Equations

Linear equalities

None of these

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°

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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Constant

Explicit

Exponential

Inverse

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

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Even function

Odd function

Power function

None of these

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

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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

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

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28

29

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

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ICS Part 2 Mathematics Full Book Test Online MCQs With Answers

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