Center of a circle is(2a+3,2a-1).find a if (11,9) lies on the circle and has diameter 20

Asked by Abhishekta.sharma | 3rd Jan, 2016, 01:42: AM

Expert Answer:

Diameter space is space 20 space units. Radius space equals space 10 space units. Distance space between space point space on space the space circle space and space centre space is space radius. Using space distance space formula space comma square root of open parentheses 2 straight a plus 3 minus 11 close parentheses squared plus open parentheses 2 straight a minus 1 minus 9 close parentheses squared end root equals 10 open parentheses 2 straight a minus 8 close parentheses squared plus open parentheses 2 straight a minus 10 close parentheses squared equals 100 8 straight a squared minus 72 straight a plus 64 equals 0 straight a squared minus 9 straight a plus 8 equals 0 open parentheses straight a minus 8 close parentheses open parentheses straight a minus 1 close parentheses equals 0 straight a equals 8 space or space straight a equals 1

Answered by Vijaykumar Wani | 4th Jan, 2016, 10:59: AM