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Home / Doubts and Solutions/JEE/Mathematics

FIND THE EQUATIONS OF CIRCES WHICH PASS THROUGH TWO POINTS ON x-axis AT DISTANCES OF 4 units FROM THE ORIGIN AND WHOSE RADIUS IS 5 UNITS.

Asked by neeraj.unnao 16th November 2016, 12:43 AM
Answered by Expert
Answer:
begin mathsize 16px style There space are space two space circles space which space pass space through space two space points space straight A space and space straight A apostrophe space on space the space straight x minus axis space which space are space at space straight a space distance space of space 4 space units space from space the space origin. The space centres space of space these space circles space lie space on space the space straight y minus axis. In space increment OAC comma AC squared equals OA squared space plus space OC squared rightwards double arrow 5 squared equals 4 squared space plus space OC squared rightwards double arrow OC space equals space 3 space units So comma space the space coordinates space of space the space centres space of space the space required space circles space are space straight C left parenthesis 0 comma 3 right parenthesis space and space straight C apostrophe left parenthesis 0 comma negative 3 right parenthesis. Hence comma space the space equations space of space the space requried space circles space are space left parenthesis straight x minus 0 right parenthesis squared plus left parenthesis straight y plus-or-minus 3 right parenthesis squared space equals space 5 squared rightwards double arrow straight x squared plus straight y squared plus-or-minus 6 straight y minus 16 space equals space 0 end style
Answered by Expert 16th November 2016, 10:03 AM
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