Find an equation of the circle whose diameter has endpoints (2,3) and (-4,5)

(x+1)² + (y-4)² = 10

Step-by-step explanation:

The diameter of a circle has the endpoints at (2,3) and (-4,5).

Therefore, the length of the diameter is given by

= 2

Hence, the radius of the circle is √10.

Now the midpoint of the line joining (2,3) and (-4,5) will be the center of the straight line.

Hence, the center will be at (

Therefore the equation of the circle is  

(x+1)² + (y-4)² = (√10)²

⇒  (x+1)² + (y-4)² = 10 (Answer)

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v