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Question-158803




Question Number 158803 by ajfour last updated on 09/Nov/21
Commented by ajfour last updated on 09/Nov/21
            Q.158749  again
Q.158749again
Answered by ajfour last updated on 09/Nov/21
Commented by ajfour last updated on 09/Nov/21
Let  (a/(sin θ))=p  condider T(−h,k) on it.  (k/(p+a−h))=tan θ=m  (a−h)^2 +(p+a−h)^2 m^2 =(r−a)^2   (b+h)^2 +(p+a−h)^2 m^2 =(r−b)^2   subtracting  (a−b−2h)(a+b)                        =(2r−a−b)(b−a)  2r=a+b+(((a+b)/(a−b))){2h−(a−b)}  ((d(2r))/dh)=2(((a+b)/(a−b)))   [constant>0]  but limits of h is difficult to  guess.  ......
Letasinθ=pcondiderT(h,k)onit.kp+ah=tanθ=m(ah)2+(p+ah)2m2=(ra)2(b+h)2+(p+ah)2m2=(rb)2subtracting(ab2h)(a+b)=(2rab)(ba)2r=a+b+(a+bab){2h(ab)}d(2r)dh=2(a+bab)[constant>0]butlimitsofhisdifficulttoguess.

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