CBSE Class 12: Determinants - Area of a Triangle

In this video, we will get to learn about the area of a triangle and will also learn to solve a determinant using some properties without expanding it.

Created On: May 20, 2015 11:18 IST In this video, we will get to learn about the area of a triangle and will also learn to solve a determinant using some properties without expanding it.

• Three points would be collinear; if the area of the triangle formed by these three points as vertices is zero.

• Some properties that can be used to solve a determinant without expanding it are:

a) If, to each element of any row or column of a determinant, the corresponding elements of another row (or column) are added, then the value of determinant remains the same
b) Also, if, from each element of any row or column of a determinant, the corresponding elements of another row (or column) are subtracted, then the value of determinant remains the same
c) If any two rows or any two columns of a determinant are identical, or proportional, then the value of the determinant is zero

• If elements of a row or a column in a determinant can be expressed as the sum of two or more elements, then the given determinant can be expressed as the sum of two or more determinants.

रोमांचक गेम्स खेलें और जीतें एक लाख रुपए तक कैश

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