Diameter of the circle , Mathematics

Assignment Help:

The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ?

Solution)  If a circle touches the x-axis, its equation is

(x-h)^2+(y-k)^2=k^2

but it is given that the equation passes thru the point (1,0)

=> 1+h^2-2h=0

=> h=1,0

and also that tha equation passes thru the point (2,3)

=> 4+9-4h-6k+h^2=0

=> 13-4-6k+1=0

=> k=5/3=radius

diameter = 2(radius)= 10/3


Related Discussions:- Diameter of the circle

Find the middle term of the arithmetic progressions, Find the middle term o...

Find the middle term of the AP 1, 8, 15....505. A ns:    Middle terms a + (n-1)d = 505 a + (n-1)7 = 505 n - 1 = 504/7 n = 73 ∴ 37th term is middle term a 37

I-phones in one year, Assume company A expects to enhance unit sales of i-p...

Assume company A expects to enhance unit sales of i-phone by 15% per year for the next 5 years. If you presently sell 3 million i-phones in one year, how many phones do you expect

Pair of straight lines, find the equation of locus of point which lies on b...

find the equation of locus of point which lies on bisectors of angles between the coordinate axes

Choose a topic in measurement and design two activities, a) Choose a topic ...

a) Choose a topic in measurement, and design two activities in your context to help your pupils explore and learn the concept. b) Try these activities out on a few children, and

Examples of play and learning maths, Here are a few examples of some team g...

Here are a few examples of some team games. The teams can be small (1-3 children) or big (15-20 children). We start with some games for small children. a) One team places a numb

Conduct an appropriate hypothesis test, Aspire LLP is a recruitment agency....

Aspire LLP is a recruitment agency. Recently, the company senior manager, Kay conducted a survey to understand the number of hours students spend daily on their studies after schoo

Measures of central tendency-graphical method , Illustration In a soci...

Illustration In a social survey whether the main reason was to establish the intelligence quotient or IQ of resident in a provided area, the given results were acquired as tab

Find the area of the shaded region, ABC is a right angled triangle in which...

ABC is a right angled triangle in which ∠A = 900. Find the area of the shaded region if AB = 6 cm, BC=10cm & I is the centre of the Incircle of ?ABC. Ans: ∠A =90 0 BC

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