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

Calcilate the height of the cone of which the bucket , A bucket of height 8...

A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate

Show inverse trigonometric functions, Q. Show Inverse Trigonometric Functio...

Q. Show Inverse Trigonometric Functions? Ans. Many functions, including trig functions, are invertible. The inverse of trig functions are called ‘inverse trig functions'.

Find the integral of a function, We want to find the integral of a function...

We want to find the integral of a function at an arbitrary location x from the origin. Thus, where I(x=0) is the value of the integral for all times less than 0. (Essenti

Give a definition of perimeter and area, Give a Definition of Perimeter and...

Give a Definition of Perimeter and Area? Perimeter is the distance around a flat (2-dimensional) shape. Area is the amount of space taken up by a flat (2-dimensional) shape. is

All subjects, I need help. Is there anyone there to help me?

I need help. Is there anyone there to help me?

Linear programming , A paper mill produces two grades of paper viz., X and ...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

What is unitary method, Explanation of  Unitary Method Unitary Method k...

Explanation of  Unitary Method Unitary Method keeps of following two steps:-      Step 1 involves find the value of one unit.      Step 2 involves find the value of requi

Highest common factor (hcf), We know that a factor is a quantity whic...

We know that a factor is a quantity which divides the given quantity without leaving any remainder. Similar to LCM above we can find a highest common factor (HCF)

Time and Work, A and B can finish a piece of work in 16 days and 12 days re...

A and B can finish a piece of work in 16 days and 12 days respectively.A started a work and worked at it for 2 days.He was then joined by B.Find the total time taken to finish the

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