Equations relating x and y that cannot readily be solved explicitly for y as a function of x or 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

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

Given the equation 3x² + 2x – 5y + 7 = 0. determine the curve.

If eccentricity is less than one, then the curve is

Of what quadrant is A, if sec A is positive and csc A is negative?

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

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

4x² – 256 = 0 is the equation of a/an

The graph of r = a + bcosθ is a

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

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

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

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

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

What is the graph of the equation Ax² + Bx + Cy² + Dx + Ey + F = 0?

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

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

Locus of points on a side which rolls along a fixed line

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

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

What is the curve represented by the equation r = aθ?

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

The semi-conjugate axis of the hyperbola

The length of the latus rectum of the parabola

The tangent function is negative in what quadrants?

The cartesian or rectangular coordinates system was first introduced by

Also known as the x-coordinate

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

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

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

The rectangular coordinate system used to represent a complex number

A cartesian coordinates system in which the axes are not perpendicular

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

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

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

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

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

A horizontal line has a slope of

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

Let m₁ and m₂ be the respective slopes of two perpendicular lines. Then

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

If the equation is unchanged by the substitution of – x for x, and – y for y its curve is symmetric with respect to the

If all of the terms of an equation have even exponents of if all of the terms have odd exponents, the curve is symmetric with respect to the

If two linear equations, the x-coefficient of the first is equal to the y-coefficient of the send and the y-coefficient of the first is numerically equal but of opposite sign to the x-coefficient of the second, or vice- versa, the line represented are

A cubic equation has either three equal roots or one real root and two conjugate imaginary roots. The real roots are the points of intersection with:

if two equations have the same line as their graph, the equations are said to be

The points (a, 1), (b, 2), (c, 3) are collinear. Which of the following is

In a linear equation Ax + By + C = 0 , if B = 0 then the equation has the form of x = -C/A. This line is

The straight lines 4x – y + 3 = 0 and 8x – 2y +6 = 0

Which of the following is the intercept form of an equation for straight lines?

A straight line where the curve approaches more and more closely but never touches it except at a limiting point of infinity

Who coined the word “asymptote”?

The path of a point which moves according to a given law or equation

The curve traced by a point moving in a plane is shown as the ____ of the point

A conic section is curve which is the intersection of

When the ellipse approaches a circle as a limiting shape, its eccentricity approaches

The set of points in a plane, the sum of whose distances form a fixed points is a constant, is

If a right circular cone is cut by a plane parallel to its base , it would reveal a/an

A ___ to a circle is a line that has exactly one point in common with the circle.

A conic section whose eccentricity is always less than 1

A locus of appoint which moves so that the sum of the distances from two fixed points (foci) is constant and equal to the length of the major axis.

If the distance from the center to the focus of an ellipse is c, from the center to the vertex is a and from the center to the directrix is D, its eccentricity, is

A locus of point which moves so that it is always equidistant from a fixed point (focus) and from a fixed straight line (directrix)

The angle between the tangents at the end points of the latus rectum of a parabola is

The tangents of the parabola at the end points of its latus rectum intersect.

In general equation of a conic section Ax² + Bxy + Cy² + Dx + Ey + F = 0, if A and C have different signs, then the curve is a/an

If the discriminant of a quadratic equation is greater than zero, the graph is a/an

A chord passing through the focus of a parabola and perpendicular to the axis of symmetry

The latus rectum of the parabola  $x^2=4ay$  is

If a and b are lengths of semi-major and semi-minor axis of an ellipse respectively, then what is the length of its latus rectum?

The eccentricity of a regular hyperbola is

A parabola has an eccentricity

The axis of the parabola that passes through the foci, vertices and center is called

The locus of a moving point in a plane so that the difference of its distance from two fixed points (foci) is constant

What is the term given to a circle with radius equal to half the transverse axis of the hyperbola or major axis of an ellipse and its center is the center of conics?

Which of the following is NOT a central conic?

Confocal conics are conics

Which of the following is NOT true?

An ellipse and a hyperbola have the same foci, they are said to be

The parabola y = -x² + x + 1 opens

A line segment joining two of its points and passing through a focus of a conic

Given the polar equation r = 3 / ( 1 + 3 cos θ). This is a graph of a/an

The equation r = 4 cos θ is a/an

In polar coordinate system, the distance of any point P from the origin is called

The plane curve traced out by a fixed point on the circle as the circle rolls along a line.

A plane curve traced by a fixed point on a circle as it rolls along outside of a fixed circle.

A plane curve traced by a fixed point on a circle as it rolls along inside of a fixed circle.

The equation x³ + y³ – 3ay = 0 represents a

Continuous curve traced by a point moving around fixed point in same plane are steadily increasing or decreasing distance

Curve which is locus of centers of curvature of another curve envelope of all its normal.

Locus of the ultimate intersections or curves in a system of curves.

Curve formed by uniform chain hanging freely from two points.

The locus of a point such that its radius vector is proportional to its vector angle.

The graph of the equation r = acos 2θ is a

The locus of a point which rolls on a straight line (x-axis)

The equation r = a(1 +cos θ) is a polar equation of

The equation r² = a²cos θ is a

The equation r = a cos θ is a

The equation r – aθ =0 is a

The equation r = a cos θ + b is a

The equation r = a(secθ – tan θ) is a

The equation r = a(4cosθ – secθ) is a

The equation (x² – 2ay – a²)² = y²(a² – x²) is a

The equation x² + y² = a² is a

The equation ax² = y²(2a – y) is the equation of

The equation (x² + y²)² = ax²y is an equation of

The equation y² = (x² + 1)² (2 – x²)³ is an equation of

A curve or surface that is tangential to each of the family of curves or surfaces

A curve that describes the locus of the centers of curvatures of another curve to which its tangent are normal

____ is formed by intersection of rays from the point reflected or refracted from a curve surface.