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

If `|[x,2],[18,x]| = |[6,2],[18,6]|`, then x is equal to:

A

6

B

`+-6`

C

-6

D

6,6

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find values of x, if : |[2,4],[5,1]| = |[2x,4],[6,x]|

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  2. Find the value of x, if |{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|.

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  3. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

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  4. Using the property of determinants and without expanding , prove that:...

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  5. Using the property of determinants and without expanding , prove that:...

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  6. Using the property of determinants and without expanding , prove that:...

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  7. Using the property of determinants and without expanding , prove that:...

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  8. Using the property of determinants and without expanding prove that : ...

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  9. By using properties of determinants, Show that : {:|(0,a,-b),(-a,0,-...

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  10. Prove that: |[-a^2, ab,ac],[ba,-b^2,bc],[ca,cb,-c^2]|=4a^2b^2c^2

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  11. By using properties of determinants, show that : |[1,a,a^2],[1,b,b^2]...

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  12. By using properties of determinants, show that : |[1,1,1],[a,b,c],[a^...

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  13. Prove that: |[x,x^2,yz],[y,y^2,zx],[z,z^2,xy]|=(x-y)(y-z)(z-x)(xy+yz+z...

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  14. Prove that: |[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]|=(5x+4)(4-x)^2.

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  15. using properties of determinant, prove that abs{:(y+k , y , y ),(y , y...

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  16. Prove that |{:(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b):}|=(a+b+c)^(3)...

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  17. By using properties of determinants, show that : |[x+y+2z,x,y],[z,y+...

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  18. By using properties of determinants, show that : |[1,x,x^2],[x^2,1,x...

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  19. Prove that: {:|(1+a^2-b^2,2ab,-2b),(2ab,1-a^2+b^2,2a),(2b,-2a,1-a^2-...

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  20. Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...

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