AP EAMCET · Maths · Determinants
If the system of equations
\((k+1)^3 x+(k+2)^3 y =(k+3)^3\)
\((k+1) x+(k+2) y =k+3\)
\(x+y =1\)
is consistent, then the value of \(k\) is
- A 2
- B -2
- C -1
- D 1
Answer & Solution
Correct Answer
(B) -2
Step-by-step Solution
Detailed explanation
System of equations \((k+1)^3 x+(k+2)^3 y=(k+3)^3\) \((k+1) x+(k+2) y=(k+3)\) \(x+y=1\) is consistent. Since, the given system of equations are consistent. Then \(D=0\) and Also, \(\left(D_1=D_2=D_3=0\right)\) have infinitely many solutions. By Crammer Rule…
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