Question: The points A and B have coordinates (5, 1) and (1, 7) respectively. C is the mid-point of AB. a) Find the coordinates of C.

The points A and B have coordinates (5, −1) and (−1, 7) respectively. C is the mid-point of AB.

a) Find the coordinates of C.

b) Find the equation of the circle with AB as diameter.

c) Find the equation of the tangent to the
circle at A.

Step by Step Solution

★★★★★

3.38 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER a The coordinates of the midpoint C can be found by taking the average of the xcoordinates an... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Complete Pure Mathematics Questions!

Q:

Two points A and B have coordinates (-3, 2) and (9, 8) respectively. i. Find the coordinates of C, the point where the line AB cuts the y-axis. ii. Find the coordinates of D, the mid-point of AB....

Q:

The points A and B have coordinates (2, - 1) and (6, 5) respectively. i. Find the equation of the perpendicular bisector of AB, giving your answer in the form ax + by = c, where a, b and c are...

Q:

Ritt Ranch & Farm is a distributor of ranch and farm equipment. Its products range from small tools, power equipment for trench-digging and fencing, grain dryers, and barn winches. Most products...

Q:

:EXAM-STYLE QUESTIONS The points A and B have coordinates (-2,-3,-4) and (-6, -7,-2) 1.0 respectively. The line 1, has equation r = a Show that point A lies on 1. b Show that AB is perpendicular to...

Q:

The points A and B have coordinates (4, 6) and (2, 8) respectively. A line p is drawn through B perpendicular to AB to meet the y-axis at the point C. a. Find an equation of the line p. b. Determine...

Q:

The points A and B have coordinates (2, 16) and (12, 4) respectively. A straight line l 1 passes through A and B. a. Find an equation for l 1 in the form ax + by = c. The line l 2 passes through the...

Q:

question 5bi A gas company maintains a straight pipeline that passes under a mountain. The pipeline is modelled as a straight line and one side of the mountain is modelled as a plane. There are...

Q:

The points A and B have coordinates (4, 6) and (12, 2) respectively. The straight line l 1 passes through A and B. a. Find an equation for l 1 in the form ax + by + c = 0, where a, b and c are...

Q:

PART I: KNOWLEDGE (2 marks each unless specified, Total marks 30) 1. If a = 3i + 4j, determine lal. 2. ) If a = 3i, b= i+j, c = i -2j then: a) Find a + b + c in in i, j form. b) Find b + 2c in i, j...

Q:

The points A and B have coordinates (k, 1) and (8, 2k 1) respectively, where k is a constant. Given that the gradient of AB is 1/3 a. Show that k = 2 b. Find an equation for the line through A and B.

Q:

What proportion of a normal distribution is located between each of the following z-score boundaries? a. z = -0.25 and z = +0.25 b. z = -0.67 and z = +0.67 c. z = -1.20 and z = +1.20

Q:

Suppose that preferences are quasi-lincar: u(x, y) = f(x) + y, and monotonic f'(r) > 0. Denote the price of X by p and let Y be a numeraire p2 = 1. In parts (a) and (b) assume that income m is fixed...

Q:

Accounting Cycle Post - Closing Trial Balance as of June 3 0 , 2 0 2 4 : \ table [ [ \ table [ [ Account ] , [ Title ] ] , Debit ( $ ) , Credit ( $ ) ] , [ Cash , 1 5 , 0 0 0 , ] , [ \ table [ [...

Q:

(a) Edit the given program for plotting a bifurcation diagram for the logistic map (see Chapter 12) to plot a bifurcation diagram for the tent map. [10] (b) Write a program to plot a Julia set J(0,...

Q:

Which sampling method does not require a frame?

Q:

A(n) _____ sample is obtained by dividing the population into groups and selecting all individuals from within a random sample of the groups?

Q:

A(n) _____ sample is obtained by dividing the population into homogeneous groups and randomly selecting individuals from each group?

Q:

Single plantwide factory oveshead rate Platzer Instruments Inc makes three musical instruments: flutes, dorinets, and oboes. The budgeked factory overhead cost is s100,480, Overtiead is allocated to...

Q:

Additional information: On September 1, 2020, Green sold one of its segments (product line) to Best Industries for a gain (pre-tax) of $550,000. During the period January 1 to August 31, the...

Q:

Bigdog Company distributes pet products. Its ABC system has five activities: Activity Area Cost Driver Rate in 2020 1. Order processing $50 per order 2. Line-item ordering $5 per line item 3. Store...