• 072920 77839
  • info@smartachievers.in
Menu
Back
  • JEE ADVANCE
  • JEE MAIN
  • NEET
  • BITSAT
  • CBSE BOARD
  • UP BOARD
  • CUET
JEE ADVANCE
  • CLASS XI - XII
  • CRASH COURSE
CRASH COURSE
JEE MAIN
  • CLASS XI - XII
  • CRASH COURSE
CRASH COURSE
NEET
  • CLASS XI - XII
  • CRASH COURSE
BITSAT
  • CLASS XI - XII
CBSE BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
  • CLASS VI
  • CLASS VII
  • CLASS VIII
UP BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
CUET
  • CRASH COURSE
Courses


Solution


Q.

Assertion (A): The system of linear equations 2x + 3y = 7 and kx + 9/2 y = 12 have no solution, if k = 3.
Reason (R): The system of linear equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 have no solution, if a₁/a₂ = b₁/b₂.
1 Both A and R are true, and R is the correct explanation of A.  
2 Both A and R are true, but R is not the correct explanation of A.  
3 A is true, but R is false.  
4 A is false, but R is true.  

Ans.

(3)

Rationale: The system of linear equations in Reason (R) have no solution, if
 a₁/a₂ = b₁/b₂ ≠ c₁/c₂..
So, Reason (R) is false. The system of linear equations in Assertion (A) will have no solution if
    k/2 = 9/3 ≠ 12/7  or  k/2 = 3/2 ≠ 12/7  or  k = 3.