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Most Important Selected Qs for JEE AdvancedMathematicsDeterminants

System of equation aligned & x+3 y+2 z=6 & x+ y+2 z=7 & x+3 y+2 z= has aligned

Options

  1. AUnique solution if =2, 6
  2. BInfinitely many solution if =4, =6
  3. CNo solution if =5, =7
  4. DNo solution if =3, =5

Correct answer

D. No solution if =3, =5

Step-by-step solution

x+3 y+2 z=6 ....(i) x+ y+2 z=7 ....(ii) x+3 y+2 z= ....(iii) (A) If =2 , then D=0 , therefore unique solution is not possible (B) If =4, =6 aligned & x+3 y=6-2 z & x+4 y=7-2 z aligned y=1 and x=3-2 z Substituting in equation (iii) 3-2 z+3+2 z=6 is satisfied infinite solutions (C) =5, =7 consider equation (ii) and (iii) aligned & x+5 y=7-2 z & x+3 y=7-2 z aligned y=0, x=7-2 z are solution sub. in (i) 7-2 z+2 z=6 does not satisfy no solution (D) if =3, =5 then equation (i) and (ii) have no solution no solution

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