Show that the locus of the points from which the tan- gents to the three spheres...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Show that the locus of the points from which the tan- gents to the three spheres (x-2)²+y²+2²=1, x²+(y-3)²+z²=6, (x+2)²+(y+1)²+(z-2)² =6 are all equal is the line x|3==y/2=z/7. Find the coordinates of the point on this line from which the length of the tangents to the three spheres is also equal to that of the tangent to the sphere (2x+1)² +4y² +(2z-1)²=6. Show that the locus of the points from which the tan- gents to the three spheres (x-2)²+y²+2²=1, x²+(y-3)²+z²=6, (x+2)²+(y+1)²+(z-2)² =6 are all equal is the line x|3==y/2=z/7. Find the coordinates of the point on this line from which the length of the tangents to the three spheres is also equal to that of the tangent to the sphere (2x+1)² +4y² +(2z-1)²=6.
Expert Answer:
Answer rating: 100% (QA)
Youve shown me two images containing related math problems that involve geometry and algebra The first question asks to show that the locus of points from which tangents to three given spheres are all ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these mathematics questions
-
Find the coordinates of the point on the curve y = (x - 2)2 where there is a tangent line that is perpendicular to the line 2x - y + 2 = 0.
-
Find the coordinates of the point on the curve y = 2(x 5)/x+1 where the gradient is 5/4.
-
Find the coordinates of the point on the curve y = (x 2 6x + 13) where the gradient is 0.
-
Bloomberg Intelligence listed 50 companies to watch in 2018 (www .bloomberg.com/features/companies-to-watch-2018). Twelve of the companies are listed here with their total assets and 12-month sales....
-
The balance sheet of Reflections Book Shop at April 30, 2017, is as follows: Charles Dryfuss, the owner of the book shop, admits that he is not an accountant. In fact, he couldn't get the balance...
-
Identify causes of underperformance
-
Why should sales to and receipts of cash from credit customers be recorded and posted immediately? AppendixLO1
-
Blaylock Company wants to buy a numerically controlled (NC) machine to be used in producing specially machined parts for manufacturers of tractors. The outlay required is $384,000. The NC equipment...
-
Which of the following is not true about the material loading charge? It is set by market forces, not by the firm. It is expressed as a percentage of total estimated costs. It includes a desired...
-
The following schedule shows the excess of cash receipts over cash disbursements projected for the Zoptic Company for 20X1: The company borrows and repays from an open line of credit in round $100...
-
You can use ___________ when a lead comes in from the web site, to look at the product being offered, the territory, and the current workloads of my salespeople, and assign the lead to the best...
-
Use your own academic report, issued by your institute, as an example. Ask a database administrator how they use normalization steps to transform the details of the report into a set of relations in...
-
Francis Corp. has two divisions, Eastern and Western. The following information for the past year is for each division: Francis has established a hurdle rate of 9 percent. Required: 1. Compute each...
-
The enzyme lipase catalyzes the hydrolysis of esters of fatty acids. The hydrolysis of p-nitrophenyloctanoate was followed by measuring the appearance of p-nitrophenol in the reaction mixture: The...
-
Use values of r cov (Table 17.1) to estimate the XY bond lengths of ClF, BrF, BrCl, ICl and IBr. Compare the answers with values in Fig. 17.8 and Table 17.3, and comment on the validity of the method...
-
From a square whose side has length \(x\), measured in meters, create a new square whose side is \(10 \mathrm{~m}\) longer. Find an expression for the sum of the areas of the two squares as a...
-
My pension plan will pay me $ 1 0 , 0 0 0 once a year for a 1 0 - year period. The first payment will come in exactly five years. The pension fund wants to immunize its position. a . What is the...
-
Kims Konstructions has assembled the following data for a proposed straw-reinforced brick maker (SRBM): SRBM Cost: $26,000 Life: 5 years Revenue (p.a.) $11,000 Operating Expenses (p.a.) $3,000...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-4. Ivan and Irene paid the following in 2012 (all by check or can otherwise be...
-
On February 2, 2012, Alexandra purchases a personal computer for her home. The computer cost $3,000. Alexandra uses the computer 80 percent of the time in her accounting business, 10 percent of the...
-
Jason and Mary Wells, friends of yours, were married on December 30, 2012. They know you are studying taxes and have come to you with a question concerning their filing status. Jason and Mary would...
-
When someone rates a group at 10 on the ANES feeling thermometer, thats a pretty serious sign of dislike. I make the claim that the population of African American, female strong Democrats aged 17 to...
-
what the Central Limit Theorem is and why it is important
-
how to build and interpret confidence intervals
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App