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

Prove the equality of axiom choice, (1) Prove that Zorn's lemma is equivale...

(1) Prove that Zorn's lemma is equivalent to axiom of choice. (2) Use Zorn's Lemma to prove the existence of E.

Determine the ratio in which the line 2x + y -4 = 0, Determine the ratio in...

Determine the ratio in which the line 2x + y -4 = 0 divide the line segment joining the points A (2,-2) and B (3, 7).Also find the coordinates of the point of division. [Ans:2 :

How to add fractions involving negative numbers, Q. How to add fractions In...

Q. How to add fractions Involving Negative Numbers? Ans. Adding fractions involving negative numbers, and subtracting them, are only slightly different. But, I'll write do

Standardizing normal variables, Standardizing Normal Variables Suppose ...

Standardizing Normal Variables Suppose we have a normal population. We can represent it by a normal variable X. Further, we can convert any value of X into a corresponding valu

Power of iota, The next topic that we desire to discuss here is powers of i...

The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i

Geometry, how can you tell qhich trangle is sss,asa, sas, and aas s

how can you tell qhich trangle is sss,asa, sas, and aas s

Write triangles named by the lengths of their sides, Write Triangles Named ...

Write Triangles Named by the Lengths of Their Sides? An equilateral triangle is a triangle with three congruent sides. All three sides of this triangle are the same lengt

How many pages can it print in 4 minutes, Tammi's latest printer can print ...

Tammi's latest printer can print 13.5 pages a minute. How many pages can it print in 4 minutes? Multiply 13.5 by 4 to ?nd out the number of copies made; 13.5 × 4 = 54 copies.

Permatuation and combination problem, A,B,C are natural numbers and are in ...

A,B,C are natural numbers and are in arithmetic progressions and a+b+c=21.then find the possible values for a,b,c Solution) a+b+c=21 a+c=2b 3b=21 b=7 a can be 1,2,3,4,5,6 c c

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