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If |[x,2],[18 ,x]|=|[6, 2],[ 18, 6]|, th...

If `|[x,2],[18 ,x]|`=`|[6, 2],[ 18, 6]|`, then x is equal to (A) 6 (B) `pm 6` (C)`-6` (D) 0

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To solve the equation given by the determinants, we need to follow these steps: ### Step 1: Write down the determinants We have the equation: \[ |[x, 2], [18, x]| = |[6, 2], [18, 6]| \] ...
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NCERT ENGLISH-DETERMINANTS-All Questions
  1. If A=[[1,2],[4,2]], then show that |2A|=4|A|

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  2. Evaluate the determinants |(2, 4),(-5,-1)|

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  3. If |[x,2],[18 ,x]|=|[6, 2],[ 18, 6]|, then x is equal to (A) 6 (B) pm ...

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  4. Solve system of linear equations, using matrix method, 2x + 3y +3z = ...

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  5. Evaluate |(2, 4),(-1,2)|

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  6. Evaluate |(x, x+1),(x-1,x)|

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  7. Find values of x for which|(3, x),(x,1)| = |(3, 2),(4,1)|

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  8. Evaluate Delta=|0sinalpha-cosalpha-sinalpha0sinbetacosalpha-sinbeta0|

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  9. Find minors and cofactors of the elements of the determinant|2-3 5 6 ...

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  10. Verify Property 1 for Delta=|(2,-3 ,5),(6, 0 ,4 ),(1,5,-7)|

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  11. Write the value of the following determinant: |[102, 18, 36],[ 1, 3, 4...

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  12. Evaluate Delta=|3 2 3 2 2 3 3 2 3|

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  13. Examine the consistency of the system of equations x + 2 y = 2" "2x +...

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  14. Solve system of linear equations, using matrix method, 5x + 2y = 4," ...

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  15. Examine the consistency of the system of equations 5x -y + 4z = 5," "...

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  16. Examine the consistency of the system of equations 3x -y - 2z = 2" "2...

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  17. Examine the consistency of the system of equations x + y + z = 1 2x + ...

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  18. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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  19. Find the inverse the matrix (if it exists)given in[(1, 0, 0),( 0,cosal...

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  20. Find area of the triangle with vertices at the point given in each of...

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