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If the system of linear equations

2x + y – z = 7

x – 3y + 2z = 1

x + 4y + δz=k, where δ,k∈R

has infinitely many solutions, then δ+k is equal to:

Option 1 -

3

Option 2 -

3

Option 3 -

6

Option 4 -

9

0 2 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    =|21−11−3214δ|=0⇒δ=−3

    and Δ1=|71−11−32k4−3|=0⇒k=6

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