CBSE Class 12-science Answered
question 13
Asked by klmn445 | 03 Apr, 2024, 11:33: PM
Expert Answer
Let the equation of circle be
The circle given by eqn.(1) passes through origin (0,0)
Hence c = 0 .
The circle given by eqn.(1) passes through origin (1,0)
Hence we get, 2 g + 1 = 0 or g = -1/2
Hence , center C of circle is ( 1/2 , -f )
Circle given by eqn.(1) touches the circle " x2 + y2 = 9 " ( Orange colour circle in figure )
Let the circles touch at point P as shown in figure. Let C be the center of circle that is to be determined.
Points O , C and P are in line
Hence , as shown from figure ,
OC = OP - PC
By solving above expression , we get f = ±√2
Hence centre of circle (-g, -f ) is either ( 1/2 , +√2 ) or ( 1/2 , - √2 )
Answer :-
option (d) ( 1/2 , - √2 )
Answered by Thiyagarajan K | 04 Apr, 2024, 10:45: AM
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