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CBSE Class 11-science Answered

Q) The set of values of "a" for which circle with center (0,1) & radius is 1, meet the parabola y equals a x squared at a point other than origin is left parenthesis A right parenthesis a greater than 0 space space space left parenthesis B right parenthesis a element of open parentheses 0 comma 1 half close parentheses space space left parenthesis C right parenthesis space a element of space open parentheses 1 fourth comma 1 half close parentheses space space space left parenthesis D right parenthesis space a element of open parentheses 1 half comma infinity close parentheses
Asked by araima2001 | 31 Mar, 2017, 05:24: AM
answered-by-expert Expert Answer
begin mathsize 16px style Given space that space straight a space circle space with space centre space left parenthesis 0 comma 1 right parenthesis space and space radius space is space 1 space then space equation space of space the space circle straight x squared plus open parentheses straight y minus 1 close parentheses squared equals 1 straight x squared plus straight y squared minus 2 straight y plus 1 equals 1 straight x squared plus straight y squared minus 2 straight y equals 0 space space space....... left parenthesis straight i right parenthesis also comma straight y equals ax squared space..... left parenthesis ii right parenthesis after space solving space these space equations space simultaneously space we space get comma left parenthesis straight x comma straight y right parenthesis equals open parentheses fraction numerator square root of 2 straight a minus 1 end root over denominator straight a end fraction comma fraction numerator 2 straight a minus 1 over denominator straight a end fraction close parentheses As space 2 straight a minus 1 space can space not space be space less than 0 we space have space 2 straight a minus 1 greater than 0 rightwards double arrow straight a greater than 1 half The space answer space is space open parentheses 1 half comma infinity close parentheses. end style
Answered by Sneha shidid | 31 Mar, 2017, 03:10: PM

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