Question # 1

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

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Unit Vector

Null vector

Position vector

None of these

The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

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0

2

3

1

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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R

R - {2}

R - {2, -2}

R - {-2}

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Above

Left

Below

Right

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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Scalar

Free vector

Unit vector

Null vector

The instantaneous rate of change of y with respect to x is given by:

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Unit vector

Null vector

Position vector

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

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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