Which of the following is a conic surface?
Which of the following is a conic surface?
2. Which of the following is a conic section? Explanation: Circle is a conic section.
What is a conic in optics?
Conic section is a curved line formed by the intersection points of a cone surface and a plane, as illustrated to the left. Following text describes conic surfaces in the context of their optical properties.
What is the line on the surface of a cone?
The perimeter of the base of a cone is called the “directrix”, and each of the line segments between the directrix and apex is a “generatrix” or “generating line” of the lateral surface.
How do you identify a conic?
Steps to Identify Conic Sections From General Form
- If A and C are non zero and equal, and both have the same sign, then it will be a circle.
- If A and C are non zero and unequal, and have the same sign, then it will be an ellipse.
- If A or C is zero, then it will be a parabola.
How is a conic formed?
Conic sections are generated by the intersection of a plane with a cone. If the plane is parallel to the axis of revolution (the y -axis), then the conic section is a hyperbola. If the plane is parallel to the generating line, the conic section is a parabola.
What is parabola conic section?
A parabola is a conic section. It is a slice of a right cone parallel to one side (a generating line) of the cone. Like the circle, the parabola is a quadratic relation, but unlike the circle, either x will be squared or y will be squared, but not both.
What are the two types of conics?
In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.
What is the point of a cone called?
A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top. The pointed end of the cone is called the apex, whereas the flat surface is called the base.
What are the parts of a cone?
The three elements of the cone are its radius, height, and slant height.
Why is a circle called a conic section?
They are called conic sections because they can be formed by intersecting a right circular cone with a plane. When the plane is perpendicular to the axis of the cone, the resulting intersection is a circle.
How is a conic surface formed?
This surface is formed by rotation of a conic section around its axis of symmetry. Conic section is a curved line formed by the intersection points of a cone surface and a plane, as illustrated to the left. Following text describes conic surfaces in the context of their optical properties.
What is a general conical surface?
In geometry, a ( general) conical surface is the unbounded surface formed by the union of all the straight lines that pass through a fixed point — the apex or vertex — and any point of some fixed space curve — the directrix — that does not contain the apex. Each of those lines is called a generatrix of the surface.
What is a conic conjugate surface?
In other words, for any reflecting conic surface there is a single pair of conjugate points (i.e. object and image locations) that will produce perfect axial image (such surface is called Cartesian reflecting surface). We’ll call these two points (conic) specific conjugates, or specific/geometric foci.
What is the geometric focus of a conic surface?
Note that geometric focus of a conic surface is different from its Gaussian focus, which is determined by the focal length – i.e. radius of curvature – of a surface, and independent of the conic.