Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 184
i\ n. (x-y -l)(x-y + l)+k(x- l)(y- 1)=0. Clearly, the parameter k can be determined so that the corresponding conicshall pass through any fifth point in the plane. Thus, if we wish the conicof the pencil wliich passes througli tlie origin, we must determine k so thatthe above equation shall be… … EXERCISES 1. Find the equations of the conies which pass through the following sets of points (a) (0, 0), (1, 0), (2, 1), (1, 3), and (- 1, -4). (b) (1, 1), (3,2), (0,4), (-4,0), and (-2, -2). MISCELLANEOUS EXERCISES 1. Show that the line x — 2y = 0 touches the circle x^ + y^ — 4:X + 8y = 0. 2. The…
Geometry, Analytic
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