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If |{:(x^(n),x^(x+2),x^(2n)),(1,x^(a),a)...

If `|{:(x^(n),x^(x+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|` =0 `forallx in "R where n" in` N, the value of a is

A

n

B

n-1

C

n+1

D

None of these

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The correct Answer is:
C
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -2 CONCEPT APPLICATOR
  1. prove that |{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),...

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  2. Evaluate |{:(.^(x)C(1),,.^(x)C(2),,.^(x)C(3)),(.^(y)C(1),,.^(y)C(2),,....

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  3. If |{:(x^(n),x^(x+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|...

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  4. The value of the determinant |{:(1^(2),2^(2),3^(2),4^(2)),(2^(2),3^(2)...

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  5. The value of the determinant |{:(1 ,(5^(2x)-5^(-2x))^(2),(5^(2x)-5^(-2...

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  6. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

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  7. If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...

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  8. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

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  9. If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...

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  10. the value of the determinant |{:((a(1)-b(1))^(2),,(a(1)-b(2))^(2),,...

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  11. f'(x) = |{:(cos x , x , 1),(2sin x,x^(2),2x),(tan x, x,1):}| . The val...

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  12. If the matrix A = [{:(y+a,b,c),(a,y+b,c),(a,b,y+c):}] has rank 3, then

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  13. If the system of linear equations x1 + 2x2 + 3x3 = 6, x1 + 3x2 + 5x3 =...

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  14. If a ,b ,c are in G.P. with common ratio r1a n dalpha,beta,gamma are i...

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  15. Let A=[a(ij)](3xx3) be such that a(ij)=[{:(3, " when",hati=hatj),(0,,h...

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  16. Let lambda "and" alpha be real. Let S denote the set of all values of ...

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  17. Prove that the value of each the following determinants is zero: |s...

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  18. For what value of p, is the system of equation p^3x+(p+1)^3y=(p+2)^3 a...

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  19. If the sides of a DeltaABC and a, b, c and |{:(a^(2),b^(2),c^(2)),((a+...

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  20. Supposealpha ,beta , gamma in R are such that sin alpha, sin beta , s...

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