Question # 1

ax + by + c = 0, will represent equation of straight line parallel y-axis if:

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a = 0

b = 0

c = 0

a = 0, c = 0

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

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

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

If a function f is from a set X to a set Y, then set X is called the _______ of f:

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Domain

Range

Co-domain

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

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

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domain

range

lower limit

upper limit

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

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

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

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

The distance between the points (1, 2), (2, 1).

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1

2

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

Two real and distinct tangents can be drawn to a circle from any point P(x₁, y₁) ______ the circle:

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Inside

On

Outside

None of these

Sir Isaac Newton was a(an) --------- mathematician.

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