The Elements of Analytic Geometry
The Elements of Analytic Geometry
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In our eReader you can find the full English version of the book. Read The Elements of Analytic Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Elements of Analytic Geometry
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(a) 5x- 7y = 0; (b) 5x-2y -50 = 0; (c) 2x + 3y-58 = 0. 122 ANALYTIC GEOMETRY 2. Find the equations of the lines which pass through the vertices of the triangle formed by the lines 2x 3 ?/ + 1 = 0, x y = 0, and 3x + 4?/ 2 = which are (a) parallel to the opposite sides. (b) perpendicular to the opposite sides. Ans. (a) 3x + 4?/- 7 = 0, Ux-2ly+ 2 = 0, 17 x - \1 y + 5 = 0; (b) 4-3y- 1 =0, 21x + 14y-10 = 0, 17s + 17 y - 9 = 0. 3. Find the bisectors of the angles formed by the lines 4x By 1=0 and 3x ...4?/ + 2 = 0, and show that they are perpendicular. Ans. 7 x 7 y + 1 = and x + y 3 = 0. 4. Find the equations of the bisectors of the angles formed by the lines 5x-12?/ + 10=:0 and 12 x - By +15 = 0. Verify the results by Theorem X. 5. Find the locus of a point the ratio of whose distances from the lines 4x-3y-|-4 = 0and5x+12y-8 = 0isl3to5. Ana. 9x + 9y - 4 = 0. 6. Find the bisectors of the interior angles of the triangle formed by the lines 4 x - 3 y = 12, 5-12y-4 = 0, and 12 x - 5 y - 13 = 0. Show that they meet in a point.
What to read after The Elements of Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Percey F Percey Franklyn Smith to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(a) 5x- 7y = 0; (b) 5x-2y -50 = 0; (c) 2x + 3y-58 = 0. 122 ANALYTIC GEOMETRY 2. Find the equations of the lines which pass through the vertices of the triangle formed by the lines 2x 3 ?/ + 1 = 0, x y = 0, and 3x + 4?/ 2 = which are (a) parallel to the opposite sides. (b) perpendicular to the opposite sides. Ans. (a) 3x + 4?/- 7 = 0, Ux-2ly+ 2 = 0, 17 x - \1 y + 5 = 0; (b) 4-3y- 1 =0, 21x + 14y-10 = 0, 17s + 17 y - 9 = 0. 3. Find the bisectors of the angles formed by the lines 4x By 1=0 and 3x ...4?/ + 2 = 0, and show that they are perpendicular. Ans. 7 x 7 y + 1 = and x + y 3 = 0. 4. Find the equations of the bisectors of the angles formed by the lines 5x-12?/ + 10=:0 and 12 x - By +15 = 0. Verify the results by Theorem X. 5. Find the locus of a point the ratio of whose distances from the lines 4x-3y-|-4 = 0and5x+12y-8 = 0isl3to5. Ana. 9x + 9y - 4 = 0. 6. Find the bisectors of the interior angles of the triangle formed by the lines 4 x - 3 y = 12, 5-12y-4 = 0, and 12 x - 5 y - 13 = 0. Show that they meet in a point.
What to read after The Elements of Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Percey F Percey Franklyn Smith to read onlineMoreLess
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