Calculus

1. Chapter 1: Analytic Geometry Distance Formula
Calculus I with Analytic Geometry 4
Conceptualized by: Raymond D. Garcia, MA Math
Assistant Professor 1 – Apayao State College
PROBLEM SET NUMBER 1
Ordered Pairs of Real Numbers
Name: _________________________________________ Date: ____________________
Course/Year/Section: _____________________________ Score: ___________________
Direction: Plot the given pair of points in the Cartesian coordinate system.
1. (2, 1), (4, 5) 6. (0, 2), (4, 0)
2. (-2, 1), (3, -1) 7. (1.75, 0), (0, -1)
3. (3, -2), (0, 4) 8. (-1, 2.5), (3, -3)
4. (3, -1), (0, 1) 9. (1.25, 2), (3, 2.5)
5. (-1, 4), (-2, 5) 10. (2.75, -1.5), (-3.5, 1.25)

2. Chapter 1: Analytic Geometry Distance Formula
Calculus I with Analytic Geometry 5
Conceptualized by: Raymond D. Garcia, MA Math
Assistant Professor 1 – Apayao State College
PROBLEM SET NUMBER 2
Distance Between Two Points
Name: _________________________________________ Date: ____________________
Course/Year/Section: _____________________________ Score: ___________________
Direction: Solve the following problems.
1. Find the distance between (-2, -1) and (3, 4).
2. The distance between (-5, y) and (5, 3) is √109. Find y.
3. The distance between (-3, 2) and (x, -1) is √45. Find x.

3. Chapter 1: Analytic Geometry Distance Formula
Calculus I with Analytic Geometry 6
Conceptualized by: Raymond D. Garcia, MA Math
Assistant Professor 1 – Apayao State College
PROBLEM SET NUMBER 3
Midpoint of a Line Segment
Name: _________________________________________ Date: ____________________
Course/Year/Section: _____________________________ Score: ___________________
Direction: Solve the following problems.
1. Find the coordinates of the midpoint of (1, 1) and (3, 4).
2. Divide the segment joining (-7, 2) and (5, -4) into three equal parts and find the points of
division.
3. The line segment joining (3, 5) and (-3, -5) is divided into two segments, one of which two
– thirds as long as the other. Find the point of division.