Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If the system of equations ,  and <img alt="\\-2x-2y-4z=3" src="/latex-image/?%5C%5C

If the system of equations \\kx+y+2z=1, \\ 3x-y-2z=2 and \\-2x-2y-4z=3 has infinitely many solutions, then k is equal to__________.
Option: 1 21
Option: 2 15
Option: 3 12
Option: 4 8

Answers (1)

best_answer

 

\\kx+y+2z=1\qquad\ldots(1)\\ 3x-y-2z=2\qquad\ldots(2)\\-2x-2y-4z=3\quad\ldots(3)

\begin{array}{l} \text {We observe } 5 \mathrm{P}_{2}-\mathrm{P}_{1}=3 \mathrm{P}_{3} \\ \text {So, } 15-\mathrm{K}=-6 \\ \Rightarrow \mathrm{K}=21 \end{array}

Posted by

Suraj Bhandari

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: BTech CSE cut-offs for PwD candidates at NITs make entry easy; top institutes still selective
anam-khan

73 or 99 percentile? JEE Main result questioned, J-K candidate says, ‘Don’t create hype’
anam-khan

JEE Main 2025: 11 from Kota coaching centres among 24 students with 100 percentile

Latest Question