Question # 1

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

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

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Lagrange

Newtown

Leibniz

Cauchy

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

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Unit vector

Null vector

Free vector

None of these

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Derivative

Differential

Integral

None of these

If s is the distance traveled by a body at time t, the velocity is given by the expression:

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x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

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0

1

e

Does not exist

x = 3 cos t, y = 3 sin t represent

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Line

Circle

Parabola

Hyperbola

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

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

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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Position vector

Null vector

Unit vector

None of these

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

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