Plane And Solid Analytic Geometry
Plane And Solid Analytic Geometry
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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.
What to read after Plane And Solid Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Bailey, Frederick H. (Frederick Harold), 1865- to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after Plane And Solid Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Bailey, Frederick H. (Frederick Harold), 1865- to read onlineMoreLess
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