Match the statements of Column I with values of Column II.

Step-by-step solution

(A) Equation of the line passing through origin is aligned & x a = y b = z c & | array ccc 2 & 1 & -1 1 & -2 & 1 a & b & c array |=0 & a(-1)-b(3)+c(-5)=0 & -a-3 b-5 c=0 & a+3 b+5 c=0 & Also, | array ccc 8 3 & -3 & 1 2 & -1 & 1 a & b & c array |=0 aligned aligned & a(-2)-b ( 2 3 )+c ( 10 3 )=0 & 2 a+ 2 b 3 - 10 c 3 =0 & 3 a+b-5 c=0 & aligned From Eqs. (i) and (ii), aligned a -20 & = b 20 = c -8 a 5 & = b -5 = c 4 aligned Equation of line is x 5 = y -5 = z 4 = (say) Also, x-2 1 = y-1 2 = z+1 1 =k₁ (say) Now, x- 8 3 2