The-radius-of-the-largest-circle-which-passes-through-1-2-and-3-4-and-lies-completely-in-the-first-quadrant-is-A-3-B-2-C-6-D-2-5-I-got-the-answer-as-2-but-the-answer-given-is-2-5- Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments FacebookTweetPin Question Number 38613 by rish@bh last updated on 27/Jun/18 Theradiusofthelargestcirclewhichpassesthrough(1,2)and(3,4)andliescompletelyinthefirstquadrantisA)3B)2C)6D)25Igottheansweras2buttheanswergivenis25. Answered by ajfour last updated on 27/Jun/18 Thelargercircle′smajorsegmentliesbelowthelinejoiningthetwopoints.Thecirclethentouchesthex−axis.Thereforelettheeq.of⊥bisectorofthechordfrom(1,2)to(3,4)isy−3=2−x⇒x+y=5letcenterofcirclebe(h,r)whererisitsradius.centreliesonx+y=5⇒h+r=5Further(h−1)2+(r−2)2=r2⇒(4−r)2+(r−2)2=r2orr2−12r+20=0(r−6)2=16⇒r=6±4r=10,2ash>0⇒r=2. Commented by rish@bh last updated on 27/Jun/18 Thankyou Commented by prakash jain last updated on 28/Jun/18 ifcircletouchesy−axis(h−1)2+(r−2)2=h2(h−1)2+(3−h)2=h2h2−8h+10=0h=8±242=4±23r=1∓23r=1+23,h=4−23possiblecenterfortouchy−axis(4+23,1−23)(4−23,1+23)radius=4−23 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: A-Satellite-orbits-the-esrth-in-a-circle-of-rsdius-8000km-At-that-distance-from-the-earth-g-6-2m-s2-The-velocity-of-the-satelliege-is-Next Next post: Question-38618 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.