Question # 1

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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Lagrange

Newtown

Leibniz

Cauchy

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

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

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The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

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

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

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

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0

2

1

4

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

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sin x

cos x

-sin x

-cos x

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

The linear function f(x) = ax + b is an identity function if:

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a = 0, b = 1

a = 1, b = 0

a = 1, b = 1

a = 0, b = 1

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