Question # 1

The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

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

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-2

2

3

1

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

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0

1

e

Does not exist

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At

Not on

On

None of these

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If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

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x = 0

y = -a

y = 0

y = -a

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

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Tangents

Secant

Diameter

Radius

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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

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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x - axis

z - axis

y - axis

None of these

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

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

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

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The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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