Plane And Solid Analytic Geometry

Cover Plane And Solid Analytic Geometry
Plane And Solid Analytic Geometry
Bailey, Frederick H. (Frederick Harold), 1865-
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2x2-y=' = 14; (3, -2). \^^ 8. Find the tangent to the parabola y^ = 4x, which makes an angle of 45° with the axis of x. 9. Find the tangents to the conic 2x2 + 3y^ + 4x-6y-l=0, which make an angle tan~^ \ with the axis of x.
10. Find the tangents to the conic 4x^ + y- == 4, which are parallel to the straight line 2x — 4y 4-5=0.
11. Find the tangents to the conic x" — 3y^ — 4x + 3 =: 0, which are perpendicular to 3x + 2y — 1 = 0.
12. Find the tangents to the conic 7x^+8y^ = 56, which make an ang
...le tan~^ 3 with the line x + y -f- 1 ^ 0.
13. Find a normal to the conic x^ + 2y2 + 5y + 2 = 0, mak- ing an angle tan~^ \ with the axis of x.
14. Find a normal to the conic 3x- — x + y = 0, parallel to the line 3x + 2y + 1 = 0.
15. Find a normal to the conic 4y- — x- -f 2x — 6y -f 20 = 0, perpendicular to the line 3y + 3x + 2 = 0.
Find the polars of each of the following points with respect to the given conic, and also the points in which the polar intersects the conic : 16. (-3, 4); 4y2 + 16x-4y-3=0.


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