CBSE  /  Class 12  /  Maths  /  Determinants

  • 1. 
    \(\left|\begin{array}{cc}a+i b & c+i d \\-c+i d & a-i b\end{array}\right|\)

  • (a + b)²
  • (a + b + c + d)²
  • (a² + b² – c² – d²)
  • a² + b² + c² + a²

  • 2. 
    If \(\left|\begin{array}{ccc}a-b-c & 2 a & 2 a \\2 b & b-c-a & 2 b \\2 c & 2 c & c-a-b\end{array}\right|\) = k (a + b + c)³ then k is

  • 0
  • 1
  • 2
  • 3

  • 3. 
    \(\left|\begin{array}{lll}a+1 & a+2 & a+4 \\a+3 & a+5 & a+8 \\a+7 & a+10 & a+14\end{array}\right|\) =

  • 2
  • -2
  • 4
  • -4

  • 4. 
    \(\left|\begin{array}{lll}b-c & c-a & a-b \\c-a & a-b & b-c \\a-b & b-c & c-a\end{array}\right|\) =

  • 0
  • 1
  • 2
  • 3

  • 5. 
    The value of the determinant \(\left|\begin{array}{ccc}\alpha & \beta & \gamma \\\alpha^{2} & \beta^{2} &\gamma^{2} \\\beta+\gamma & \gamma+\alpha & \alpha+\beta\end{array}\right|\)

  • (α + β)(β + γ)(γ + α)
  • (α – β)(β – γ) (γ – α) (α + β + γ)
  • (α + β + γ)² (α – β – γ)²
  • αβγ (α + β + γ)
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