The circle C has its centre at the point A(2,1). The line, L with equation 4y...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The circle C has its centre at the point A(2,1). The line, L with equation 4y + 3x +15= 0 is the tangent to the circle at the point, P. (i) Show that an equation of the line PA is 4x-3y = 5. (ii) Find the equation of the circle. (iii) The line with equation 4y+3x-k=0, k-15 is also a tangent to C. Find the value of the constant k. (b) Show that the equation x²-4x-6y+20=0 represents a parabola and determine the vertex, focus and directrix of the parabola The circle C has its centre at the point A(2,1). The line, L with equation 4y + 3x +15= 0 is the tangent to the circle at the point, P. (i) Show that an equation of the line PA is 4x-3y = 5. (ii) Find the equation of the circle. (iii) The line with equation 4y+3x-k=0, k-15 is also a tangent to C. Find the value of the constant k. (b) Show that the equation x²-4x-6y+20=0 represents a parabola and determine the vertex, focus and directrix of the parabola
Expert Answer:
Answer rating: 100% (QA)
Lets solve the problem step by step i Show that an equation of the line PA is 4x 3y 5 The line PA is the line passing through points P and A We can find the equation of this line by calculating its sl... 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
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
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...
-
Determine whether or not it is possible to cold work brass so as to give a minimum Brinell hardness of 120 and at the same time have a ductility of at least 20%EL. Justify your decision.
-
Although 2-substituled 2-cyclopentenones are in a base-catalyzed equilibrium with their 5-substituted 2-cyclopentenone isomers (Problem 22.38), the analogous isomerization is not observed for...
-
(L01) Do realized income and recognized income mean the same thing in the tax law? (L01) Nadia owns a bakery as a sole proprietor. One of her regular customers is unemployed from his regular...
-
How is the present value index for a proposal determined?
-
The following is a summary of all relevant transactions of Vicario Corporation since it was organized in 2014. In 2014, 15,000 shares were authorized and 7,000 shares of common stock ($50 par value)...
-
Having earned a bonus at hiswork, Rick placed the money in an investment earning 5.05% compounded monthly. He withdrew $237 at the end of every month for the next 3 years. (a) What was the amount of...
-
Julio and Milania are owners of Falcons Corporation, an S corporation. They each own 50 percent of Falcons Corporation. In year 1, Julio and Milani received distributions of $20,000 and $10,000,...
-
If the expected future dividend yield of a stock is 8.73% and the stock's cost of capital is 9.65%, what is its expected growth rate in percentage terms to 2 decimal places?
-
Why do we need a theory to understand real-world labor market problems?
-
Which of the following statements about the training of a neural network is false? a. The training of a neural network is an iterative process of predicting an observation or batch of observations...
-
Who are the key actors in the labor market? What motives do economists typically assign to workers and firms?
-
What is labor economics? Which types of questions do labor economists analyze?
-
What mix of inputs should be used to produce a given level of output?
-
Please watch the video and explain the question: https://www.youtube.com/watch?v=bpuWxbpR-bo why are virtual home tours growing in popularity? how has the coronavirus contributed to this phenomenon...
-
Fill in each blank so that the resulting statement is true. 83 + 103 = ______ .
-
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...
-
Larry Gaines, age 42, sells his personal residence on November 12, 2012, for $144,000. He lived in the house for 7 years. The expenses of the sale are $10,500, and he has made capital improvements of...
-
Professor Patricia (Patty) Pate is retired from the PalmSprings Culinary Arts Academy (PSCAA). She is a single taxpayer and is 68 years old. Patty lives at 98 Colander Street, Henderson, NV 89052....
-
For each of the following statements, either prove it is true or give a counterexample to show it is false. (a) The product of two rational numbers is always rational. (b) The product of two...
-
Which of the following numbers are rational and which are irrational? (a) \(\sqrt{2}+\sqrt{\frac{3}{2}}\). (b) \(1+\sqrt{2}+\sqrt{\frac{3}{2}}\). (c) \(2 \sqrt{18}-3 \sqrt{8}+\sqrt{4}\). (d)...
-
(a) Let \(a, b\) be rationals and \(x\) irrational. Show that if \(\frac{x+a}{x+b}\) is rational, then \(a=b\). (b) Let \(x, y\) be rationals such that \(\frac{x^{2}+x+\sqrt{2}}{y^{2}+y+\sqrt{2}}\)...
Study smarter with the SolutionInn App