n "C, if nr0 4. For integers n and r, let 0, otherwiser The maximum value of k for which the sum i=0 10 15 k+1 12 13 + exists, is equal to.. k-i i k+1-i i=0 5. Let =1+2-k, b=- and c=i-j-k be three given vectors. If is a vector such that b= rxa=cx and r.b=0, then F. is equal to............ x y z 6. Let A= y z X zx y 7. 8. where x, y and z are real numbers such that x + y + z> 0 and xyz = 2 If A = 13, then the value of x3 + y + z is.... Let A1, A2, A3,............ be squares such that for each n1, the length of the side of An equals the length of diagonal of An+1. If the length of A1 is 12cm then smallest value of an for which area of An is less than one, is............... The locus of the point of intersection of the lines (3)kx+ky-43=0 and 3x-y-4(3) k= O is a conic, whose eccentricity is............