Analytic geometry by Lewis Parker Siceloff, George Wentworth and David Eugene

By Lewis Parker Siceloff, George Wentworth and David Eugene Smith

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1, a), (a, 1). 6. (0, 0), (1, 1). Determine, witlwut writing, tlte slopes of lines perpendicular to the lines througl~ the following pairs of points : 7. (2, 4), (4, 2). 8. (1, 3), (2, 5). 9. (6, 4), (0, 1). 11. (0, 2), (0, a). 10. (3, 3), (4, 4). i 12. ( 4, 0), (a, 0). 13. Find the angle of inclination of the line through (3, 1) and(- 2,- 4). 14. The inclination of the line through (3, 2) and (- 4, 5) is supplementary to that of the line through (0, 1) and (7, 4). 15. If P (5, 9) is on a circle whose center is (1, 6), find the radius of the circle and the slope of the tangent at P.

55. P(5, lc), given that AP is perpendicular toPE. Explain any peculiar feature that is found in connection with Ex. 55. 56. P(2, k), given that angle APE= 45°. 57. P(k, 10), given that angle APE= 45°. Explain any peculiar feature that is found in connection with Ex. 57. 58. P(a, a), given" that angle APE= 45°. 59. P(a, b), given that AP = PE and the slope of OP is 1. 60. P (a, b), given that OP = 5 and the slope of OP is 2. • 32 GEOMETRIC MAGNITUDES 61. Given that AP = PB, AP is perpendicular to PB, A is (2, 3), and B is (- 3, - 2), find the coordinates of P.

1, 2, 3. Extend each graph by considering its symmetry. , should be employed. 27. 26 for the equations y=x-t, y=x- 2, y=x- 8• 28. Draw the graphs of the equations y 2 = x4 and y 2 = x 3 CHAPTER IV THE STRAIGHT LINE PROBLEM. THE SLOPE EQUATION 63. To find the equation of the straight line when the slope and the y intercept are given. Solution. Let cept, and l the Since b is the Take P(x, y) m be the given slope, b the given y interline determined by m and b. y intercept, l cuts 0 Y in Q(0, b).

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