Purchase Solution

Algebra: Slopes and Circles

Not what you're looking for?

Ask Custom Question

The fully-formattted image is attatched from a scanned document. Please explain, where possible.

Three points 4(2,3), B(-1, -2) and C(-1,6) and the circle that. passes through them.
(a) (i) Find the slope of the line that passes through A and B.
(ii) Find the coordinates of the midpoint of the line segment AB.
(iii) Find the equation of the perpendicular bisector of AB.
(iv) Show that the line corresponding to the parametric equations x=t?2, y=?(3/5)t+2
is the same line as in part (a)(iii) above.
(b) Find the equation of the perpendicular bisector of the line segment AC.
(c) (i) From your answers to parts (a)(iv) and (b), find the centre of the circle that passes through A. B and C.
(ii) Find the radius of this circle, giving your answer correct to two decimal places.
(iii) Write down the equation of the circle.

Attachments
Purchase this Solution

Solution Summary

The expert examines the slopes and circles in algebra. The equations of the perpendicular bisector is determined.

Solution Preview

Please see the attached file for the full solution.

Thanks for using BrainMass.

Slope = (-2-3)/(-1-2) = -5/-3 = 5/3

Mid-point =

The slope of perpendicular line should be -3/5 and product of slopes of perpendicular lines should be -1. Perpendicular bisector should pass through the mid point of A and B ...

Solution provided by:
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
Recent Feedback
  • "Perfect, thank you so much!!! I will definitely request you in the future! You are amazing!"
  • "Thank you. "
  • "Thank you so much I have two more that I need your help with if your available."
  • "Thank you, I was wondering why you rejected me the first time."
  • "Thanks again."
Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.