find the values of k for which the pair of linear eq kx+ y= ksquare and x+ky=1 have infinitely many solution
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given equations,
kx+ y = k
and x + ky = 1
on comparing we have,
a1 = k, b1 = 1 , c1 = k
a2= 1 , b2 = k , c2= 1
condition for infinitely many solution:
a1/a2 =b1/b2 =c1/c2
=> k/1 = 1/k = k/1
let us take ,
=> k/1 = 1/k
=> k²= 1
=> k = ±1
HOPE IT HELPS..
FOR QUERIES.. COMMENT.
kx+ y = k
and x + ky = 1
on comparing we have,
a1 = k, b1 = 1 , c1 = k
a2= 1 , b2 = k , c2= 1
condition for infinitely many solution:
a1/a2 =b1/b2 =c1/c2
=> k/1 = 1/k = k/1
let us take ,
=> k/1 = 1/k
=> k²= 1
=> k = ±1
HOPE IT HELPS..
FOR QUERIES.. COMMENT.
samita1:
u r always welcome
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