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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;"></span></font><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Determina la ecuación de la circunferencia que muestra la figura:<br /><br style="font-family: times new roman,times,serif;" /></span></font> <div style="text-align: center;"><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">#c1<br /><br style="font-family: times new roman,times,serif;" /></span></font> <div style="text-align: justify;"><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Donde <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»=«/mo»«mi»#P1«/mi»«/math»</span> es el centro y <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»r«/mi»«mo»=«/mo»«mi»#r«/mi»«/math»</span> es el radio.</span></font><br /><br /></div></div>
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<font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Solución:<br /><br />La ecuación general de la circunferencia es de la forma:<br /><br /></font> <div style="text-align: center;"><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»h«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»y«/mi»«mo»-«/mo»«mi»k«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»=«/mo»«msup»«mi»r«/mi»«mn»2«/mn»«/msup»«/math»</span><br /></font> <div style="text-align: left;"><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Donde <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mi»h«/mi»«mo»,«/mo»«mi»k«/mi»«/mrow»«/mfenced»«/math»</span> es el centro y <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»r«/mi»«/math»</span> es el radio.<br />Así, según muestra el gráfico tenemos:<br /><br /></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Radio: <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»r«/mi»«mo»=«/mo»«mi»#r«/mi»«/math»</span><br />Centro :</font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><font><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»=«/mo»«mi»#P1«/mi»«/math»</span><br />Reemplazando el centro y el radio en la ecuación de la circunferencia, se obtiene:<br /></font><br /></font> <div style="text-align: center;"><font size="4" style="font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»#h1«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»y«/mi»«mo»-«/mo»«mi»#k1«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»=«/mo»«msup»«mi»#r«/mi»«mn»2«/mn»«/msup»«/math»</span><br style="font-family: times new roman,times,serif;" /></font> <div style="text-align: left;"><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Por lo tanto, la ecuación de la circunferencia es:</span><br style="font-family: times new roman,times,serif;" /><br style="font-family: times new roman,times,serif;" /></font> <div style="text-align: center;"><font size="4" style="font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mrow»«mi»x«/mi»«mi»#c3«/mi»«mi»#h2«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»y«/mi»«mi»#c2«/mi»«mi»#k2«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»=«/mo»«msup»«mi»#r«/mi»«mn»2«/mn»«/msup»«/math»</span></font><br /> <div style="text-align: left;"><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">Desarrollando la ecuación anterior, obtenemos la siguiente ecuación equivalente.<br /><br /></span></font></span> <div style="text-align: center;"><span style="font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mi»#c4«/mi»«mi»#A«/mi»«mi»#x«/mi»«mi»#c5«/mi»«mi»#B«/mi»«mi»#y«/mi»«mi»#c6«/mi»«mi»#C«/mi»«mo»=«/mo»«mn»0«/mn»«/math»</span><font size="4"><span style="font-family: times new roman,times,serif;"></span></font></span><br /><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"></span></font></span></div></div></div></div></div></div></div>
No, case is unimportant
Yes, case must match
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<font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">Bien. Continúa de esta manera.</span></font>
Answer 2
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<font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">Bien. Continúa de esta manera.</span></font>
Answer 3
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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Revisa el desarrollo para identificar tus errores. ¡Tú puedes! </span></font>
Answer 4
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66.66667%
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<font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">Bien. Continúa de esta manera.</span></font>
Answer 5
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66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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