Q. 74.1( 90 Votes )

Find r if (i)<sup

Answer :

(i)





42 -13r+r2=12


r2-13r+30=0


r2-10r-3r+30=0


r(r-10)-3(r-10)=0


(r-3)(r-10)=0


r= 3 or r=10


But r=10 is rejected, as in , r cannot be greater than 5.


Therefore, r=3.


(ii)





42 -13r+r2=6


r2-13r+36=0


r2-9r-4r+36=0


r(r-9)-4(r-9)=0


(r-4)(r-9)=0


r= 4 or r=9


But r=9 is rejected, as in , r cannot be greater than 5.


Therefore, r=4.

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