Question

Show that the relation R in the set A of points in a plane given by R = {(P, Q) : distance of the point P from the origin is same as the distance of thepoint Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point P ≠ (0, 0) is the circle passing through P with origin as centre.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Other

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 doll...

A: Let x pounds of Pistachios is mixed with y pounds of Walnuts.

Q: An accident occurred causing damage to 2 cars. Each owner took his car to Carlos' Repair Shop for es...

A: Carlos estimated each car needed a new fender at $1,990, a new bumper at $850.

Q: •2valuate Cach expression for P -4,2=8Y and 10

A: The given values of the variables are,

Q: What is the Measure of angle DBE and angle ABD?

A: It is known that, sum of angles on a straight line equals 180 degrees.Therefore, from the figure it ...

Q: If A and B are square matrices of the same order such that AB = BA, then prove by induction that ABn...

A: Given : If A and B are square matrices of the same order such that AB = BA, then prove by induction ...

Q: A box is 24 inches long, 10 inches wide, and 10 inches deep. About how many cubic feet is the box? ...

A: Click to see the answer

Q: Determine the center and radius of each circle and sketch the graph  x^2+(y-2)^2=16

A: Click to see the answer

Q: Store A sells CDs for 2 dollars each if you pay a one-time fee of 104 dollars. Store B offers 12 fre...

A: Given:Store A sells CDs for 2 dollars each if you pay a one-time fee of 104 dollars.Store B offers 1...

Q: Solve the following for the indicated variable. C = 2πr for r  (Circumference of a circle)

A: Given circumference of a circle is

Q: One rule of thumb in the fast-food restaurant business is a "4 times markup": The price of a food it...

A: We have been given that the cost of ingredients used in making a taco is $1.50. As per the thumb rul...

Q: Ā BC + (A O B ) + BC 4. a Draw a circuit for the expression: b. Evaluate the output of each gate, in...

A: Given,

Q: Magnitude of 2+5i

A: Given, 2 + 5i

Q: if r=6 when s=1/3, find r when s=1

A: Click to see the answer

Q: TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro)....

A: TravelEz sells 1.40 dollars for 1 euro. At the end of the trip, Sophie exchanged 40 euros to dollars...

Q: 3. vamables o represent each expressLon, As sume 3. 3) 3. lach excpresscon in ofB match eauerceeent ...

A: 13simplify the expression

Q: Define Invertible Matrices. Give an example.

A: An n x n square matrix A is called Invertible Matrices, if there exists an n x n square matrix B suc...

Q: What is mZABC? 63° LABC and LCBD are compllementary. MZABC = equation: %3D to

A: The given angles are,

Q: Karen is twice as old as Lori. Three years from now, the sum of their ages will be 42. How old is Ka...

A: It is given that the Karen is twice as the old as Lori.Let consider the age of the Lori be x and the...

Q: (8t/t-4)+(3/4-t)

A: Given:

Q: Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 minutes. How ...

A: Given, Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 minute...

Q: Solve for 'x' : (x2−2x)2−8 = 7(x2−2x)

A: Let z= x^2 -2x Plug this in the given equation

Q: Explain how to graph x2 + y2 = 1.

A: Given:Explain how to graph x2 + y2 = 1.

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = −2 log3(3 − ...

A: To sketch the graph of the function and analyse it completely.

Q: When solving systems of equations we have at least two unknowns. A common example of a system of equ...

A: Let he has x quarters and y dimes He has total 60 coinsSo, x+y=60

Q: The sum of two consecutive even integers is 26. What are the two numbers?

A: Given:

Q: for the set b={3}, determine n(b)

A: Given,

Q: Franklin Clarence Mars invented the snickers bar and introduced it in 1930. More than 15million snic...

A: Given, Franklin Clarence Mars invented the snickers bar and introduced it in 1930. More than 15milli...

Q: 5.Consider the following system of linear equations: 4x +2y = 25 4x – y = -5 If y = 10 in the soluti...

A: Given y=10 is in the solution. We have to plug y=10 in any of the two equations and solve for x.

Q: Let T be the set of all triangles in a plane with R a relation in T given byR = {(T1, T2) : T1 is co...

A: Given, Let T be the set of all triangles in a plane with R a relation in T given byR = {(T1, T2) : T...

Q: A rectangular garden has an area of 14 m2 and a perimeter of 18 meters. Find the dimensions of the r...

A: A rectangular garden has an area of 14 m2 and a perimeter of 18 meters. Find the dimensions of the r...

Q: Passing through (-3,7) and perpendicular to the line with equation 2x+3y=7The answer is provided in ...

A: Given equation of line

Q: 15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine o...

A: Given that, there is a total of 15 people. Three ounces of corn serves one person and a can of corn ...

Q: Let T be a linear operator on an inner product space V. Let U1= T + T* and U2 = TT*. Prove that U1 =...

A: If T is an operator in an inner product space V over the field F together with an inner product, i.e...

Q: How do you answer question 4? (Disregard the "do: B, C, E)

A: a) The given function is,

Q: −5x  −  y  =  3 10x  +  2y  =  1 (a) Use a graphing utility to graph the equations in the sys...

A: Given,

Q: 4x-3>21         or  -3x>-9

A: To determine the solution of the inequality.

Q: Find the total amount that must be repaid on the following note described. $8,533 borrowed at 15.5% ...

A: Convert the time into years3 years, 125 days = 3+(125/365)= (244/73) years.

Q: compute 5-9+10-2

A: The given expression is