Question # 1

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

y-coordinate of any point on X-axis:

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0

x

y

1

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

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

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Even function

Odd function

Power function

None of these

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

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y = 5

y = 3

y = -4

y = 4

y = mx + c is the equation of straight line in:

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Slope-intercept form

Two points from

Point slope form

Intercepts form

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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sec x tan x

sec²x

-sec x tan x

-sec²x

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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

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x = X - h

x = X + h

x + X = h

None

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

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x = a

x = - a

y = a

y = -a

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

An integral of 3x² is:

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x³+c

3

6x

x^2+c

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

The axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

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