Find x if circle passes through -3,-1 and diameter length, Mathematics

Assignment Help:

The centre of a circle is (2x - 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units.                                                                                                                                     [Ans: x = 2 , -46/13 ]

 

Ans :  D = 20             R = 10

(2x - 1 + 3)2 + (3x + 1 + 1)2 = 102

(2x + 2)2 + (3x + 2)2 = 100

4x2 + 8x + 4 + 9x2 + 12x + 4 = 100

13x2 + 20x + 8 = 100

13x2 + 20x - 92 = 0

13x2 + 46x - 26x - 92 = 0

(13x + 46) - 2(13x + 46) = 0

x = 2, - 46/13


Related Discussions:- Find x if circle passes through -3,-1 and diameter length

Determine the volume of the hollow solid, A solid is formed by cutting the ...

A solid is formed by cutting the top off of a cone with a slice parallel to the base, and then cutting a cylindrical hole into the resulting solid. Determine the volume of the holl

E is irrational, If e were rational, then e = n/m for some positive integer...

If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v

Accuray and Precision, If an instrument has precision of +-1, can it detect...

If an instrument has precision of +-1, can it detect a value of 1.3?

Time series and analysis, Time Series and Analysis It is the statistic...

Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes

Parallelogram, fig angles of a irregular polygons exterior and interior .

fig angles of a irregular polygons exterior and interior .

How much more does she required to sell to meet her goal, Hanna's sales tar...

Hanna's sales target for the week is $5,000. So far she has sold $3,574.38 worth of merchandise. How much more does she required to sell to meet her goal? You must ?nd out the

What is the average temperature on the celsius scale, Peggy's town has an a...

Peggy's town has an average temperature of 23° Fahrenheit in the winter. What is the average temperature on the Celsius scale? If the total amount for both is 80, after that th

Shortricks, shortricks of compound interest

shortricks of compound interest

Tangents with parametric equations - polar coordinates, Tangents with Param...

Tangents with Parametric Equations In this part we want to find out the tangent lines to the parametric equations given by X= f (t) Y = g (t) To do this let's first r

Solve the linear equation, Solve the linear equation: The equation rel...

Solve the linear equation: The equation relating the pressure that is denoted by P, to the force, F & the area, A, over which the force is applied is P =F/A.  Solve this equat

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd