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Find the area of the triangle whose vert...

Find the area of the triangle whose vertices are `(3, 8)`,`(-4, 2)`and `(5, 1)`.

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To find the area of the triangle with vertices at the points \( (3, 8) \), \( (-4, 2) \), and \( (5, 1) \), we can use the formula for the area of a triangle given by the coordinates of its vertices: \[ \text{Area} = \frac{1}{2} \left| \begin{vmatrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \end{vmatrix} \right| ...
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NCERT-DETERMINANTS-SOLVED EXAMPLES
  1. Prove that |[a, a+b, a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b, 10 a+6b+3c]...

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  2. Show that|[1+a,1,1],[1,1+b,1],[1,1,1+c]|=abc(1+1/a+1/b+1/c)=abc+bc+ca+...

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  3. Find the area of the triangle whose vertices are (3, 8),(-4, 2)and (5,...

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  4. Prove that |b+c a a b c+a b cc a+b|=4a b c

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  5. If x, y, z are different and Delta=|[x,x^2, 1+x^3],[y, y^2,1+y^3],[z, ...

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  6. Find the equation of the line joining A( 1,3) and B (0,0) using deter...

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  7. Find the minor of element 6 in the determinant Delta=|[1, 2, 3],[ 4, 5...

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  8. The sum of three numbers is 6. If we multiply third number by 3 and a...

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  9. Solve the following system of equations by matrix method. 3x-2y + 3z=...

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  10. Solve the system of equations 2x + 5y = 1 and 3x + 2y = 7.

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  11. Show that the matrix A=[[2,3],[ 1,2]]satisfies the equation A^2-4A+I=...

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  12. If A=[(2,3),(1,-4)]and B=[(1,-2),(-1, 3)], then verify that (A B)^(-1)...

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  13. If A=[[1 ,3 ,3],[ 1, 4 ,3],[ 1, 3, 4]],then verify thatA a d j A = |A|...

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  14. Find adj for A=[[1 ,2],[ 3 ,4]]

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  15. Find minors and cofactors of the elements of the determinant|[2,-3, 5...

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  16. Find minors and cofactors of the elements a(11), a(21) in the determi...

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  17. Find minors and cofactors of all the elements of the determinant |[1,...

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  18. If a, b, c are positive and unequal, show that value of the determina...

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  19. If a,b,c are in A.P, find value of |[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],...

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  20. Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2xyz...

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