ALGEBRA. 



XVII. Miscellaneous Questions. 



2. By performing the operation for the extraction of the 

 square root find a value of x which will make 



rfect square. 

 253. If lj 

 then will ( m - m ) (m 3 - m ) K - w > + 7 - Vs_ - 



+ - 



. Prove that 



){a;(x-A)-fy(y-^)} f -c(a;-A) f + 

 will VH- divisible by ( x -h)' + (y-ky if 



a-c "" 6 6 f -ac* 

 i F:i\ ing given the equations 

 lx-- .-0, (6-c)* + (c-a)^ 



6 //i 



ve that 



?yz (me - ny) 4- m'zx (iix - h) + n'xy (ly - mx) 



(/ -f m* n 1 )* ,. x . 



256. The product of any r consecutive terms of the aeries 

 l-c', 1 -c a , ... is coinjkt.ly divisible by the product of 

 / terms. 



