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Which of the following equation is true for the hyperbola, where P is on the hyperbola curve, F1, F2 are the two fixed points, the foci, and a is the distance from the vertices of the hyperbola to its center.
Steps are given to locate the directrix of hyperbola when axis and foci are given. Arrange the steps. i. Draw a line joining A with the other Focus F. ii. Draw the bisector of angle FAF1, cutting the axis at a point B. iii. Perpendicular to axis at B gives directrix. iv. From the first focus F1 draw a perpendicular to touch hyperbola at A.
Rectangular hyperbola is one of the hyperbola but the asymptotes are perpendicular in case of rectangular hyperbola.
Steps are given to draw an ellipse by loop of the thread method. Arrange the steps. i. Check whether the length of the thread is enough to touch the end of minor axis. ii. Draw two axes AB and CD intersecting at O. Locate the foci F1 and F2. iii. Move the pencil around the foci, maintaining an even tension in the thread throughout and obtain the ellipse. iv. Insert a pin at each focus-point and tie a piece of thread in the form of a loop around the pins.
An ellipse has ___________ vertices and ____________ foci.
Steps are given to determine the centre of curvature at a given point on a hyperbola. Arrange the steps. Let P be the given point on the conic, V is vertex and F and F1 are the foci. i. Draw a line GO parallel to HF and cutting the axis at O. ii. Draw a line F1G inclined to the axis and equal to FV1. iii. Then O is the centre of curvature at the vertex V. iv. On F1G, mark a point H such that HG = VF. Join H with F.
An undirected graph has 8 vertices labelled 1, 2, …,8 and 31 edges. Vertices 1, 3, 5, 7 have degree 8 and vertices 2, 4, 6, 8 have degree 7. What is the degree of vertex 8?
What is the number of vertices in an undirected connected graph with 39 edges, 7 vertices of degree 2, 2 vertices of degree 5 and remaining of degree 6?
According to network graphs, the network with: 1. Only two odd vertices is traversable 2. No odd vertices is traversable 3. Two or more than two odd vertices are traversable Which of the above statements is / are correct?
A hyperbola in which length of transverse and conjugate axis are equal is called _________ hyperbola.