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If a,b,c are in A.P, find value of |[2y+...

If `a,b,c` are in A.P, find value of `|[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],[4y+6,7y+9,10y+c]|`

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To find the value of the determinant \[ |[2y+4, 5y+7, 8y+a], [3y+5, 6y+8, 9y+b], [4y+6, 7y+9, 10y+c]| \] given that \(a, b, c\) are in Arithmetic Progression (A.P.), we can follow these steps: ...
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NCERT ENGLISH-DETERMINANTS-All Questions
  1. By using properties of determinants. Show that: (i) |[1,a, a^2],[ 1,...

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

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

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  5. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

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  6. Without expanding, prove that |(a+b x, c+dx, p+q x), (a x+b, c x+d, ...

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  7. By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x...

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  8. By using properties of determinants. Show that: (i) |[a-b-c,2a,2a],[2b...

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

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  10. By using properties of determinants. Show that:|[1+a^2-b^2, 2a b,-2b],...

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

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  12. Let A be a square matrix of order 3xx3, then |k A|is equal to (A) k|A...

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  13. Which of the following is correct (A)   Determinant is a square matrix...

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  14. Solve system of linear equations, using matrix method, 4x - 3y = 3" "...

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  15. Solve system of linear equations, using matrix method, 2x - y = -2" "...

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  16. Examine the consistency of the system of equations x + 3 y = 5" "2x + ...

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  17. Examine the consistency of the system of equations 2x - y = 5" "x + y ...

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  18. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost o...

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  19. Prove that the determinant [(x,sintheta,costheta),(-sintheta,-x,1),(co...

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  20. Find the inverse the matrix (if it exists)given in[(1,-1, 2),( 0, 2,-3...

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