Question # 1

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

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

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

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

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Linear inequalities

Equations

Linear equalities

None of these

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sin x

cos x

-sin x

-cos x

An angle in a semi-circle is:

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0°

90°

180°

60°

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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y = 5

y = 3

y = -4

y = 4

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R

R - {2}

R - {2, -2}

R - {-2}

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

None of these

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

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

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Constant

Explicit

Exponential

Inverse

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

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x = a

x = -a

y = a

y = -a

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

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