math calculating area

We have already learnt in the previous class that the area of triangle whose vertices are (x 1 , y 1 ), (x 2 , y 2 ), (x 3 , y 3 ) is given by Hence area of a triangle having vertices at (x 1 , y 1 ), (x 2 , y 2 ) and (x 3 , y 3 ) is given by..

Application of Determinants - Now we shall discuss the use of determinants in finding the area of a triangle and in the solution of simultaneous equation..

Application of Determinants, Area of a Triangle, Cramer's rule for the solution of a system of equations in 2 variables, Consistency of a system of linear equation. Application of Matrices, Homogeneous Equations (Constant = 0), Non Homogenous Equations (Solution by the Matrix..

Conclusion - We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan metho..

[A i j ] where A i j is the co-factor of the element a i j . Adjoint of A is denoted by Adj A. Note that the concept of adj is only for square matrix. A square matrix A is said to be non-singular if |A| 0. Let A be a square matrix of order n. If there exists a square matrix B of order n, such that ..

The diameter of a circular lawn is 18 m. Calculate its area. [Take π = 3.14.] => 254.34 m 2 or 28.26 m 2 or 1017.36 m 2 or 56.52 m 2..

What is the degree of the polynomial obtained by calculating the area of a square having a side (3 y + 3)? => 1 or 4 or 2 or 3..

Which of the following can be calculated only for a cone but not for a cylinder? => volume or base area or curved surface area or slant height..

A swimming pool has a length of 12 yd and a width of 7 yd. Calculate its area. => 84 yd 2 or 14 yd 2 or 74 yd 2 or 168 yd 2..

Calculate the area of triangle ABC in the figure shown, if the area of the rectangle BCDE is 80 in. 2 . => 4 in. 2 or 82 in. 2 or 160 in. 2 or 40 in. 2..