Question # 1

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

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

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

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

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Constant

Explicit

Exponential

Inverse

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

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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sinh x

cosh x

-sinh x

-cosh x

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

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x = a

for all x

x = 0

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

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x = a

x = -a

y = a

y = -a

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

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1

-1

0

undefined

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

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Line

Parabola

Ellipse

Hybperbola

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 (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

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x = 0

y = -a

y = 0

y = -a

If y is an image of x under the function f, we denote it by:

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x = f(y)

x = y

y = f(x)

f(x, y) = c

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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

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Directrix

Vertex

Focus

Chord

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