Question # 1

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

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

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

If any two vectors of scalar triple product are equal, then its value is equal to:

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0

1

-1

2

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

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Straight line

Tangent line

Normal line

Vertical line

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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Constant

Explicit

Implicit

Inverse

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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Above

Left

Below

Right

-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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Constant

Implicit

Identity

Inverse

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sec x tan x

- sec²x

-sec x tan x

sec²x

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0

2

3

1

Inclination of Y-axis or of any line parallel to Y-axis is:

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Zero

Undefined

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f(x² + 1)

f(x)

f(x²)

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

None of these

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