Question # 1

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

The axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

The range of the function f(x) = |x|

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Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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0

1

-1

2

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sin x

-cos x

-sin x

cos x

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

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Integration by parts

Definite integral

Differentiation

None of these

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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Constant

Explicit

Implicit

Inverse

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0

-1

1

2

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

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

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|CP| < r

|CP| > r

|CP| = r

None of these

cosh^-1x =

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A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

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