Focus of a Parabola:In mathematics, the focus of a parabola is a point that can be used, along with a line called the directrix, to define the parabola. That is, a parabola is a set of points, such that each point on the parabola is the same distance from the focus of the ...
The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.A parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus of points ...
Distance formulais used to prove that the distance from the focus to any point in that parabola is equal to the distance from any point of the parabola to the directrix. The formula is: D=(x2−x1)2+(y2−y1)2 WhereDis the distance between two points,x1andy1are the coordinates of...
This is the locus of points that are equidistant from a fixed point, focus and a fixed-line, directrix. The distance between focus and vertex is mentioned by a in the equation of the parabola.Answer and Explanation: The standard equation of the parabola is {eq}(x-h)^{2} = ...
The focus of a parabola that opens downwards is located at the point (0, -a). Since we found a=4, the focus is:Focus=(0,−4) Step 4: Find the directrixThe directrix of a parabola that opens downwards is given by the line y=a. Thus, the directrix for our parabola is:Directrix...
one of the fixed points from which the distances to any point of a given curve, such as an ellipse or parabola, are connected by a linear relation. an element of a sentence that is given prominence by intonational or other means.
Focus of the parabolay2−8x−32=0is at View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasth...
3.A central point or region, such as the point at which an earthquake starts. 4.MathematicsA fixed point or one of a pair of fixed points used in constructing a curve such as an ellipse, a parabola, or a hyperbola. The American Heritage® Student Science Dictionary, Second Edition. Cop...
The optical axis of an OAP mirror is parallel to, but displaced from the optical axis of the parent parabola. The focal point of the OAP mirror coincides with that of the parent parabola. The focal axis of the OAP mirror passes through the focal point and the center of the OAP mirror....
Focus and Directrix of a Parabola A parabola is a conic section that is generated by the intersection of the surface of a plane with a cone. A parabola is a plane curve that is formed when a point moves such that the distance between it and a fixed point equals the distance between it...