Question # 1

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

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0

1

2

3

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

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

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Left

Upward

Right

Downward

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

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

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|CP| < r

|CP| = r

|CP| > r

None of these

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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Above

Left

Below

Right

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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Constant

Explicit

Exponential

Inverse

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4, -4

0

2, -2

0, 4

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

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Left

Upward

Right

Downward

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

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equal to each other

not equal to each

nearly equal to each other

none of these

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

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

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Tangents

Secant

Diameter

Radius

Equation of the line parallel to x + 3y - 9 = 0 is:

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3x - y - 9 = 0

3x + 9y + 7 = 0

2x - 6y - 18 = 0

x - 3y + 9 = 0

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