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

Array -categories of multiplication, Array - when items are arranged in a ...

Array - when items are arranged in a regular rectangular pattern of rows and columns, counting how many there are. (e.g., if there are 3 rows of 5 girls each, how many girls are t

Cardioids and limacons - polar coordinates, Cardioids and Limacons Thes...

Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel

Find the largest clique, Generate G(1000,1/2) and find the largest clique ...

Generate G(1000,1/2) and find the largest clique you can.  A clique is a complete sub graph, that is, a set of vertices each pair of which is connected by an edge.

Write prim's algorithm, Write Prim's Algorithm.   Ans: Prim's algorithm...

Write Prim's Algorithm.   Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below.  Let G = (V, E) be graph and S

Solution of rectilinear figures, A straight line AB on the side of a hill i...

A straight line AB on the side of a hill is inclined at 15.0° to the horizontal. The axis of a tunnel 486ft. long is inclined 28.6° below the horizontal lies in a vertical plane wi

Find out the x-intercepts, Find out the x-intercepts & y-intercepts for eac...

Find out the x-intercepts & y-intercepts for each of the following equations.                            y =x 2 +x - 6 Solution As verification for each of these we wil

Numerical methods for ordinary differential equationsordinay, #k1=f(Tn, Xn)...

#k1=f(Tn, Xn), k2=f (Tn + H.Y,Xn + H.Y.k1) Xn+1=Xn + H(a.k1+ b.k2) Find a relation between Y,a and b so that the method is second order consistent.

What is the square root of -i, To find sq root by the simple step... root (...

To find sq root by the simple step... root (-i)=a+ib............... and arg of -i= -pi/2 or 5pi/2

Terminology of polynomial, Terminology of polynomial Next we need to ge...

Terminology of polynomial Next we need to get some terminology out of the way. Monomial polynomial A monomial is a polynomial which consists of exactly one term.

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