Question # 1

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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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

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

Sir Isaac Newton was a(an) --------- mathematician.

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German

French

Swiss

English

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0

1

-1

2

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

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

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

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

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I and II

III and IV

II and III

I and III

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

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sin x

cos x

-sin x

-cos x

Two real and distinct tangents can be drawn to a circle from any point P(x₁, y₁) ______ the circle:

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Inside

On

Outside

None of these

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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Constant

Implicit

Explicit

Inverse

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

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