Determinants
Easymathematics
If |[x, 2], [3, 4]| = 10, then x equals
Select the correct option:
Solution
Incorrect! Answer:
4
- Expansion: Expand the 2×2 determinant on the left:
- (x)(4)−(2)(3)=10
- Simplify Equation:
- 4x−6=10
- Algebraic Solution:
- 4x=16
- x=4.
- Result: The value of x is 4.
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About This Question
- Subject
- mathematics
- Chapter
- matrices and determinants
- Topic
- determinants
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
4
- Expansion: Expand the 2×2 determinant on the left:
- (x)(4)−(2)(3)=10
- Simplify Equation:
- 4x−6=10
- Algebraic Solution:
- 4x=16
- x=4.
- Result: The value of x is 4.
This easy difficulty mathematics question is from the chapter matrices and determinants, covering the topic of determinants. It appeared in the 2025 exam.
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