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If |[2x,5], [8,x]|=|[6,-2], [7, 3]| , wr...

If `|[2x,5], [8,x]|=|[6,-2], [7, 3]|` , write the value of `xdot`

A

`3`

B

`+-3`

C

`+-6`

D

`6`

Text Solution

AI Generated Solution

To solve the equation \( |[2x, 5], [8, x]| = |[6, -2], [7, 3]| \), we will calculate the determinants on both sides and set them equal to each other. ### Step 1: Calculate the determinant on the left side The determinant of a 2x2 matrix \( |[a, b], [c, d]| \) is calculated using the formula: \[ |[a, b], [c, d]| = ad - bc \] ...
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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If |[2x,x+3],[ 2(x+1),x+1]|=|[1, 5],[ 3 ,5]| , then write the value ...

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  2. If |[3x, 7], [-2 , 4]|=|[8, 7], [6, 4]| , find the value of xdot

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  3. If |[2x,5], [8,x]|=|[6,-2], [7, 3]| , write the value of xdot

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  4. If A is square matrix of order 3 matrix, |A| != 0 and |3A|=k|A| , then...

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  5. Write the value of the determinant |[p ,p+1],[p-1,p]| .

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  6. Write the value of |(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|

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  7. If A=[[costheta,sintheta],[-sintheta,costheta]] , then for any natural...

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  8. The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is

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  9. If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of xdot

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  10. If |[x,sintheta,costheta],[-sintheta,-x,1],[costheta,1,x]|=8 , write t...

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  11. If A and B are square matrices of order 2, then det(A+B)=0 is possib...

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  12. Which of the following is not correct? (a)|A|=|A^T| , where A=[a(i j...

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  13. If Delta=|[a(11),a(12),a(13)],[a(21),a(22),a(23)],[a(31),a(32),a(33)]|...

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  14. Which of the following is not correct in a given determinant of A , wh...

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  15. Let |[x,2,x],[x^2,x,6],[x,x,6]|=a x^4+b x^3+c x^2+dx+edot Then, the va...

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  16. The value of the determinant |a^2a1cosn xcos(n+a)xcos(n+2)xsinn xsin(n...

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  17. If A=|[1, 1, 1],[a, b, c],[ a^2,b^2,c^2]| , B=|[1,bc, a],[1,ca, b],[1,...

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  18. If Dk=|(1, n, n),(2k, n^2+n+1,n^2+n),(2k-1,n^2,n^2+n+1)| and sum(k=1)^...

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  19. Let |[x^2+3x,x-1,x+3],[x+1,-2x,x-4],[x-3,x+4, 3x]|=a x^4+b x^3+c x^2+e...

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  20. Using the factor theorem it is found that a+b , b+c and c+a are three ...

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