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  • Choose the correct statement about two circles whose equations are given below : <img alt="x^{2}+y^{2}-22x-10y+137=0" src="/latex-image/

Choose the correct statement about two circles whose equations are given below : x^{2}+y^{2}-10x-10y+41=0 x^{2}+y^{2}-22x-10y+137=0
 
Option: 1 circles have only one meeting point
Option: 2 circles have two meeting points
Option: 3 circles have no meeting point  
Option: 4 circles have same centre

Answers (1)

best_answer

\\x^{2}+y^{2}-10 x-10 y+41=0 \\ C_1(5,5), R_{1}=3 \\ x^{2}+y^{2}-22 x-10 y+137=0 \\ C_2(11,5), R_{2}=3

\\C_1C_2=R_1+R_2\\\sqrt{(11-5)^2+(5-5)^2}=6=3+3

Circles touch externally So only one meeting point

Posted by

himanshu.meshram

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