By Lewis Parker Siceloff, George Wentworth and David Eugene Smith
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The third vertex P 1noves so that AP 2 + BJ-J'2 == 64. Find the equation of the locus of P and draw the locus. 10. The point P moves so that the slope of AP is half that of BP, where A is (0, 0) and B is (0, - G). li'incl the equation of the locus of P ancl draw the locus. 11. Find the equation of the locus of a point which moves so that its distance from the y axis is equal to the square of its distance from (h, 0). 12. Find the equation of the locus of a point P which moves so that the sum of the squares of its distances from (- 3, 0), (3, 0), and (0, 6) is equal to 93.
The vertices of a triangle are A (- 6, - 2), B (6, - 5), and C (2, - 8), and the bisector of angle C meets AB at D. Find D. Recall the fact that the bisector of an interior angle divides the opposite side into parts proportional to the other two sides. 53. In Ex. 52 find the point in which the bisector of the exterior angle at C meets A B. Given A'(1, - 3) and B ( 4, 1), find all points P meet·ing the following conditions, drawing the complete figure in each case : 54. P(3, k), given that AP is perpendicular toPE.
23. 26. , 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).