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An equilateral triangle has each side to...

An equilateral triangle has each side to a. If the coordinates of its vertices are `(x_(1), y_(1)), (x_(2), y_(2))` and `(x_(3), y_(3))` then the square of the determinat `|(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|^2` equals

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. If the oints (a1b1),(a2b2) and (a1-a2,b1-b2) are collinear, then show ...

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  2. If (x,y) is any point on the line joining (a,0) and (0,b), show that x...

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  3. An equilateral triangle has each side to a. If the coordinates of its ...

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  4. If Delta = {:|(1,a),(1,b)|, then minor of 'b' is ……….

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  5. Minor of 'd' in determinant {:|(a,c),(b,d)| is……….

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  6. Co-factor of 'y' in {:|(y,b),(z,c)| is………..

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  7. If Delta={:|(1,2,3),(2,0,1),(5,3,8)|, write the minor of the element a...

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  8. Find all the co-factors of {:|(1,3),(-2,4)|

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  9. Write Minors and Cofactors of the elements of following determinant : ...

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  10. Write Minors and Cofactors of the elements of following determinant : ...

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  11. Write the co-factor of '7' in the determinant {:|(4,5,6),(5,6,7),(13,1...

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  12. In the determinants {:|(5,-1,4),(2,3,-5),(-1,-2,6)|, find the co-facto...

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  13. Find the minor and co-factor of each element of the first column of th...

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  14. Find the minor and co-factor of each element of the first column of th...

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  15. Find the minor and co-factor of each element of the first column of th...

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  16. Write the minor and co-factor of each element of the following determi...

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  17. Write the minor and co-factor of each element of the following determi...

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  18. Write the minor and co-factor of each element of the following determi...

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  19. Using Cofactors of elements of third column, evaluate triangle - |[1,x...

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  20. Evaluate the determinant : {:|(1,3,-3),(2,-1,0),(4,-2,5)|

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