Question # 1

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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0

1

2

3

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

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

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

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cot x

- cot x

cosec x cot x

-cosec x cot x

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

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

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

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A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

i.(j.k) =

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Meaningless

-1

1

2

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tan x

cot x

- tan x

- cot x

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

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

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 graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative

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