what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero

Given:

The equation of a circle is:

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

         ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

Write the given equation in standard form of a circle.

On further simplification, we get

           ...(ii)

On comparing (i) and (ii), we get

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

sites: