If a circle is described on MD as a diameter, then its intersect x -axis at a point whose coordinates are View Solution Knowledge Check PSQ is a focal chord of a parabola whose focus is S and vertex is A. PA, QA, are produced to meet the directrix in R and T. Then ∠RST is ...
Mathematically, students wrote the equations of a parabola to find the relationship between the diameter, D, the depth, d, and the focal distance, F, of the dish and found that: Parabolic mirror: focusing on science, technology, engineering, and math The 20mm focal distance, which is said ...
Show that the locus of the point of intersection of the tangents at the extremities of any focal chord of an ellipse is the directrix corresponding to the focus. View Solution The circle drawn on any focal chord of a parabola as diameter touches the directrix. View Solution Show that the...
Note: Using this second definition, thesumof the focal radii of anellipseis aconstant. It is the same as the length of themajor diameter. Thedifferenceof the focal radii of ahyperbolais a constant. It is the distance between thevertices. ...
A three-element test system consisting of a parabola, a transmission sphere, and a folding flat is described. It is capable of measuring both optical flats and convex or concave mirrors up to 40 cm in diameter with radii of curvature from 10 m to infinity. System accuracy is 1/20th wave...
Circles drawn on the diameter as focal distance of any point lying on the parabola x^2-4x + 6y + 10 = 0 will touch a fixed line whose equation is
Let S(a, 0) be the focus of the parabola y^(2)=4ax, and P(at^(2), 2at) be a point on it. Then equation of a circle on SP as diameter is (x-a)(x-at^(2))+(y-0)(y-2at)=0 It meets y-axis at x = 0 :." "y^(2)-2"at y"+a^(2)t^(2)=0rArr(y-t)^(...
2.The system as recited in claim 1, wherein the reflector forms a through-hole for receiving a lamp of the lamp assembly, wherein the lamp includes a glass shroud having a first diameter and an assist wire having a second diameter outside of the glass shroud, wherein the through-hole ...
(y, x) may be approximated by a Gaussian convolution model, and σ(y)=κb(y) is an amount of depth-related blurring, with the calibration parameter κ and the blur radius b(y)=Dv/2·|1/F−1/v−1/s(y)|, where D denotes an aperture diameter, s denotes a depth map, v ...
Generally, in designing an aspheric mirror for use in a two-element reflective collimator system, the surface coefficient may be optimized for the particular light source diameter and angular extent used in the system so that the aspheric mirror makes the light source appear closer than it is. ...