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PROBLEM NO. 24 The portion of the line 2x + 3y = 12 that is cut off by the x and y axis is a diameter of a certain circle. Find the equation of circle. B. x 2 + y 2 + 6x – 4y = 0 C. x 2 + y 2 – 6x + 4y = 0 D. x 2 + y 2 + 6x + 4y = 0 Given: Equation o
C. 3 Therefore, B = 3 Problem No. 21 Determine B such that 3x + 2y – 7 = 0 is perpendicular to 2x – By + 2 = 0 A. 5 B. 4 D. 2 Solution: By following the slope formula y = mx + b, 2y = 3x + 7 We can say that the slope of the line is equal to 3/2 by
d. (11, 20) Therefore, the terminal point is (11, 20) Problem No. 32 The segment from ( 1, 4) to (2, 2) is extended three times its own length. Find the terminal point. a. (11, 24) b. (11, 20) c. (11, 18) SOLUTION: A (1,4) n = 1 B (2, 2) m
Problem No. 11 The equation y 2 + y – 2x + 6 = 0 is: A. ellipse B. circle C. hyperbola D. parabola Required: what conic section the equation is Solution: Gen. Equation: Ax 2 + Bxy + Cy 2 +Dx + Ey + F = 0 Using the formula b 2 – 4ac: 0 2 – 4 (0)(1) =
PROBLEM NO. 27 A man finds the angle of elevation of the top of a tower to be 30 degrees. He walks 85 m nearer the tower and finds its angle of elevation to be 60 degrees. What is the height of the tower? a.76.31 m b. 73.31 m c. 73.16 m d. 73.61 m Gi
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