MESL Q2 Elements

Parabola

In general quadratic equation, if the discriminant is zero, the curve is a figure that represent a/an

• Parabola

• Circle

• Ellipse

• Hyperbola

Implicit function

Equations relating x and y that cannot readily be solved explicitly for y as a function of x of for x as a function of y. Such equations may nonetheless determine y as a function of x or vice versa, such function is called

• Logarithmic function

• Implicit function

• Explicit function

• Continuous function

Radius vector

In polar coordinates system, the length of the ray segment from a fixed origin is known as

• Amplitude

• Radius vector

• Hypotenuse

• Minimum point

Parabola

Given the equations 3×2 + 2x - 5y + 7 = 0. Determine the curve

• Ellipse

• Parabola

• Hyperbola

• Circle

Ellipse

If the eccentricity is less that one, then the curve is

• Parabola

• Ellipse

• Hyperbola

• Circle

IV

Of what quadrant is A if sect is positive and cascade is negative?

• IV

• I

• III

• II

Hyperbola

If the general equation of the conic is Ax2 + 2Bxy + Cy2 + Ey + F = 0, and B2 - 4AC > 0, then the conic is a/an

• Circle

• Parabola

• Hyperbola

• Ellipse

Ellipse

What type of conic has an equation of Ax2 + Cy2 + Dx + Ey + F = 0?

• Circle

• Parabola

• Ellipse

• Hyperbola

Parabola

4×2 - 256 = 0 is the equation of a/an

• Parabola

• Parallel lines

• Circle

• Ellipse

Limacon

The graph of r = a + bcostheta is a

• Lemniscate

• Lituus

• Limacon

• Cardioid

Latus rectum

In an ellipse, a chord which contains a focus and is in line perpendicular to the major axis is called

• Focal width

• Conjugate axis

• Focal chord

• Latus rectum

X-axis

If All the y-terms have even exponents, the curve is symmetric with respect to the ____

• X-axis

• Origin

• Y-axis

• Line 45 deg with the x-axis

Ellipse

It can be defined as set of all points in the plane the sum of whose distances from two fixed points is a constant

• Circle

• Hyperbola

• Parabola

• Ellipse

If the equation if unchanged by the substitution of -x for x, its curve is symmetric with respect to the

• X-axis

• Y-axis

• Origin

• Line 45 deg with the axes

Helix

What type of curve is generated by a point which moves in uniform circular motion about an axis, while traveling with a constant speed parallel to the axis?

• Spiral of archimedes

• Epicycloid

• Cycloid

• Helix

Ellipse

What is the graph of the equation Ax2 + Bx + Cy2 + Dy + Ex + F = 0?

• Circle

• Ellipse

• Parabola

• Hyperbola

Abscissa

It represents the distance of a point from the y-axis

• Ordinate

• Abscissa

• Coordinates

• Polar distance

Axis of parabola

A line passing through the focus and perpendicular to the directrix of a parabola is called

• Axis of parabola

• Tangent line

• Secant line

• Latus rectum

Cycloid

Lotus points on a side which rolls along a fixed line

• Cardioid

• Epicycloid

• Cycloid

• Hypocycloid

20

What is the length of of the Latus rectum of the curve x2 = 20y?

• 5

• 20

• Sqrt of 20

• Sqrt of 5

Perpendicular

If the product of slopes of any two straight lines is negative 1, one of these if said to be ____ to the other

• Parallel

• Skew

• Non-intersecting

• Perpendicular

Spiral of archimedes

What is the curve represented by the equation r = atheta

• Spiral of archimedes

• Rosette

• Cardioid

• Lemniscate

Hyperbola

Is the locus of a point that moves in a plane so that the difference of the distances from two fixed points of the locus is constant

• Ellipse

• Circle

• Parabola

• Hyperbola

2

The semi-conjugate axis of the hyperbola (x2 / 9) - (y2 / 4) = 1

• 3

• -3

• -2

• 2

1 / 4p

The length of the Latus rectum of the parabola 6 = 4px2

• 4p

• 2p

• 1 / 4p

• -4p

II and IV

The tangent function if negative in what quadrants?

• I and III

• IV

• II and IV

• III

Descartes

The Cartesian or rectangular coordinates system was first introduced by

• Newton

• Galileo

• Descartes

• Euclid

Abscissa

Also known as the x-coordinate

• Abscissa

• Ordinate

• Polar ordinate

• Radius vector

I and IV

The x-coordinate of a point is positive in what quadrants?

• I and II

• II and IV

• I and IV

• II and III

I and II

The y-coordinate of a point is positive in what quadrants?

• II and III

• I and II

• III and IV

• II and IV

IV

State the quadrants in which coordinates (15, -2) lies

• I

• II

• III

• IV

Argand diagram

The rectangular coordinates system used to represent a complex number

• Argand diagram

• Vent diagram

• Complex diagram

• Maxwell’s diagram

Oblique coordinates system

A Cartesian coordinates system in which the axes are not perpendicular

• Parallelogram coordinates system

• Oblique coordinates system

• Polar coordinates system

• Argand diagram

All of the above

The angle of rotation about the origin of the positive x-axis into the point with rectangular coordinates (a,b), representing the complex number a + bi is called ____ of the complex number

• Amplitude

• Argument

• Phase angle

• All of the above

Octants

The rectangular coordinates system in space is divided into eight compartments called

• Quadrants

• Octants

• Cubicles

• Octodrants

Positive x-axis

The angle of inclination of a straight line is the angle it makes with the

• Positive x-axis

• Negative x-axis

• Positive y-axis

• Negative y-axis

Intersections

The points where the curve crossed the coordinates axes are called as the ____ with the axes

• Asymptotes

• Intercepts

• Intersections

• Tangent and normal

Infinity

A line which is perpendicular to the x-axis has a slope equal to

• Zero

• One

• Infinity

• Positive

Zero

A horizontal line has a slope of

• Zero

• Negative

• Inifinity

• Positive

x = x1

A line parallel to the y-axis at a directed x1 has the equation

• y = y1

• x = x1

• y = x1

• x = y1