Question # 1

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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0

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

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Above

Left

Below

Right

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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Derivative

Differential

Integral

None of these

In the translation of axes which formula is true:

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x = X + h

X = x + h

x + X = h

None

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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At

Not on

On

None of these

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

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The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

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60°

90°

30°

45°

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