Question

के का मान ज्ञात करो यदि समीकरण युग्म के असंख्य हल हो
kx+y=k
x+ky=1​

Answer 1

Given : kx+y=k

x+ky=1​

समीकरण युग्म के असंख्य हल

To Find : Value of k  

Solution:

a₁x + b₁y + c₁= 0 तथा

a₂x + b₂y + c₂ = 0

असंख्य हल

a₁/a₂ = b₁/ b₂ =  c₁/c₂

kx+y=k

x+ky=1​

k/1  = 1/k  = k/1

k/1  = 1/k

=> k²  = 1

=> k = ±1

k = 1

=> 1/1 = 1/1 = 1/1 = 1

k = -1

=> -1/1 = 1/-1 = 1/-1 = -1

Hence values of k = - 1

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