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If A, B, C Are Distinct, Then the Value of X Satisfying ∣ ∣ ∣ ∣ ∣ 0 X 2 − a X 3 − B X 2 + a 0 X 2 + C X 4 + B X − C 0 ∣ ∣ ∣ ∣ ∣ = 0 is (A) C (B) a (C) B (D) 0 - Mathematics

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प्रश्न

If a, b, c are distinct, then the value of x satisfying \[\begin{vmatrix}0 & x^2 - a & x^3 - b \\ x^2 + a & 0 & x^2 + c \\ x^4 + b & x - c & 0\end{vmatrix} = 0\text{ is }\]

विकल्प

  • c

  • a

  •  b

  •  0

MCQ

उत्तर


When we put x = 0 in the given matrix, then it turns out to be the skew symmetric matrix of order 3 and the determinant of the skew symmetric matrix of odd order is always 0.

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अध्याय 6: Determinants - Exercise 6.7 [पृष्ठ ९४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 6 Determinants
Exercise 6.7 | Q 11 | पृष्ठ ९४

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