हिंदी

Why is the absolute value of the determinant taken while finding the area of a triangle?

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प्रश्न

Why is the absolute value of the determinant taken while finding the area of a triangle?

विकल्प

  • Every determinant is always positive.

  • Area is always non-negative.

  • \[|A|\ne0\] for every triangle.

  • The points must always be collinear.

MCQ
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उत्तर

Area cannot be negative, whereas a determinant can be positive or negative. Therefore, its absolute value is used in the area formula.

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