Question # 1

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

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Above

Left

Below

Right

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x = a

x = 2

x = 0

None

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

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Outside

Inside

On

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

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sec x tan x

- sec²x

-sec x tan x

sec²x

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

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

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

Two imaginary 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

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4

Does not exist

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

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a

2b

b

2a

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

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Abscissa

Ordinate

Coordinate axes

None of these

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

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