Question # 1

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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

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Even

Odd

One-one

Zero

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Constant function

Absolute linear function

Linear function

Quadratic function

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

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4

2

1

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equal to each other

not equal to each other

nearly equal to each other

None of these

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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

A unit vector is defined as a vector whose magnitude is:

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0

2

1

4

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

Which one is not an exponential function ?

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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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The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

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[0]

[0, 0]

[0, 0, 0]

None of these

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0

2

3

1

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

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