Question

प्रश्न
12.
यदि समीकरण निकाय 2x+5y=0 तथा kx + 10y = 0 का अद्वितीय हल हो, तब K
मान ज्ञात कीजिए।​

Answer 1

Given :  समीकरण निकाय 2x+5y=0 तथा kx + 10y = 0  का अद्वितीय हल  

Pair of linear equations 2x+5y=0 and kx + 10y = 0  has unique solution

To Find : K का मान ज्ञात कीजिए

Value of K

Solution:

a₁x  + b₁y  = c₁    

a₂x  + b₂y  = c₂

अद्वितीय हल  / unique solution

a₁/a₂   ≠ b₁/b₂

2x+5y=0

kx + 10y = 0

2/k   ≠  5/10

=> 2/k    ≠  1/2

=> k   ≠ 4

k  ∈ R - { 4 }

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Answer 2

Given : समीकरण निकाय 2x+5y=0 तथा kx + 10y = 0 का अद्वितीय हल

Pair of linear equations 2x+5y=0 and kx + 10y = 0 has unique solution

To Find : K का मान ज्ञात कीजिए

Value of K

Solution:

a₁x + b₁y = c₁

a₂x + b₂y = c₂

अद्वितीय हल / unique solution

a₁/a₂ ≠ b₁/b₂

2x+5y=0

kx + 10y = 0

2/k ≠ 5/10

=> 2/k ≠ 1/2

=> k ≠ 4

k ∈ R - { 4 }