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

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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4, -4

0

2, -2

0, 4

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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

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sinh x

cosh x

-sinh x

-cosh x

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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Unit vector

Null vector

Position vector

None of these

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If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

Cosh² x - Sinh² x =

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1

-1

2

-2

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Scalar

Free vector

Unit vector

Null vector

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

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

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y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

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

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Outside

Inside

On

None of these

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x = a

x = 2

x = 0

None

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