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Without expanding the determinant at any...

Without expanding the determinant at any stage, prove that `{:|(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+e)| =0` Where a,b,c are in A.P.

A

0

B

x-(a+b+c)

C

a+b+c

D

`9x^2+a+b+c`

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
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  11. If {:|(x,x),(1,x)| = |(3,4),(1,2)|. Write the positive value of 'x'.

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  12. If A is a square matrix of order 3 and |3A| = k|A|, then write the val...

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  13. If A is a square matrix order 3 such that |adjA|=225, find |A'|.

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  14. Prove that: |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|= 2(a+b+c)^3

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

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  17. Find the value of k’ if the area of the triangle is 4 sq. units and ve...

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  18. Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show tha...

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  19. Without expanding show that following : |[a,a+b,a+b+c],[2a,3a+2b,4a+3b...

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