Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Impig, Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Email Address: cbsua.sipocot@cbsua.edu.ph
Trunkline: (054) 881-6681
College of Criminology
Analytic Geometry
Direction: Read and analyze the following problem. Show your solutions.
1. Find the equation of the diameter of a circle whose endpoints are (5,3) and (-4,8).
(3pts)
2. Find the equation of the diagonals of the rectangle with vertices at (1,4), (8,0), (6,3), and (-1,1). Sketch the graph.(5pts)
3. Express the equation
2𝑥
4
−
4𝑦
5
= 1 into general form of a line. (2pts)
4. Find the distance between the parallel lines 6𝑥 + 𝑦 = 1 and 6𝑥 + 𝑦 = 12(3pts)
5. Find the distance between the given line 8𝑥 − 6𝑦 + 3 = 0 and (1,4). (3pts)
6. Reduce the given general form 𝑥 2 + 𝑦 2 + 4√5𝑥 − 2√3𝑦 − 41 = 0 to the standard form of
the equation of a circle.(5pts)
7. Find the equation of the circle which passes through the points 𝑃1 (5,10), 𝑃2 (6,9), and
𝑃3 (−2,3). Identify the center and its radius then sketch the graph. (9pts)
TJFP