Question # 1

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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

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Trapezium

Rectangle

Rhombus

None of these

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

Which one is an exponential function ?

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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

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Integration

Integrand

Constant of integration

None of these

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

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

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

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x - axis

z - axis

y - axis

None of these

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

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Abscissa

Ordinate

Coordinate axes

None of these

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

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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Line

Parabola

Ellipse

Hybperbola

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

The derivative of x with respect to y is given by:

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