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A B C is a right-angled triangle in whic...

`A B C` is a right-angled triangle in which `/_B=90^0` and `B C=adot` If `n` points `L_1, L_2, ,L_nonA B` is divided in `n+1` equal parts and `L_1M_1, L_2M_2, ,L_n M_n` are line segments parallel to `B Ca n dM_1, M_2, ,M_n` are on `A C ,` then the sum of the lengths of `L_1M_1, L_2M_2, ,L_n M_n` is `(a(n+1))/2` b. `(a(n-1))/2` c. `(a n)/2` d. none of these

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ABCD is a square of length a,a in N ,a gt 1. Let L_1,L_2,L_3, ……. Be points on BC such that BL_1L_2=L_2L_3=….=1 and M_1,M_2M_3…. be points on CD such that CM_1=M_1M_2 =M_2M_3 =….1 Then Sigma_(n=1)^(a-1) (AL_n^2+L_nM_n^2) is equal to