Find the values of k for which the pair of linear equation kx+y=k² and x+ky=1 have infinitely many solution.
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the formula for linear Equation divided into three that is intersecting lines parallel lines and coincident lines
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Kx+y=k²
x+ky=1
for infinitely many solutions
A1/A2 = b1/b2 = C1/C2
now,
k/1=1/k=k²/1
taking
k/1=1/k
k=1.............1
taking
k/1=k²/1
k³=1
k=1...........2
from 1 and 2 we get
k=1.......ans..
x+ky=1
for infinitely many solutions
A1/A2 = b1/b2 = C1/C2
now,
k/1=1/k=k²/1
taking
k/1=1/k
k=1.............1
taking
k/1=k²/1
k³=1
k=1...........2
from 1 and 2 we get
k=1.......ans..
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