Question # 1

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2

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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At

Not on

On

None of these

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

A line which divides a plane into two parts is called:

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Boundary point

Boundary line

Feasible line

None

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0

2

3

1

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

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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Line

Parabola

Ellipse

Hybperbola

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

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Ellipse

Parabola

Hyperbola

Circle

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

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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