Question # 1

ax + by + c = 0 has matrix from as:

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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

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-2

2

3

1

Inverse hyperbolic functions are expressed in terms of natural:

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Numbers

Exponential

Logarithms

Sines

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

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domain

range

lower limit

upper limit

If y = (x), then the variable x is called --------- variable of a function f.

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Dependent

Independent

Image of y

None of these

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

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

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y = 5

y = 3

y = -4

y = 4

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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domain

range

lower limit

upper limit

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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0

2

3

1

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4

2

1

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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0

1

-1

2

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