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If A=({:(5,5x,x),(0,x,5x),(0,0,5):}) and...

If `A=({:(5,5x,x),(0,x,5x),(0,0,5):})` and `|A^2|=25`, then `|x|` is equal to

A

`(1)/(5)`

B

5

C

`5^2`

D

1

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A
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CHHAYA PUBLICATION-QUESTIONS PAPER -2019-WBJEE 2019
  1. Let A be a square matrix of order 3 whose all entries are 1 and let I3...

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  2. If M is any square matrix of order 3 over R and if M' be the transpose...

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  3. If A=({:(5,5x,x),(0,x,5x),(0,0,5):}) and |A^2|=25, then |x| is equal t...

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  4. Let A and B be two square matrices of order 3 and AB=O3, wher O3 denot...

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  5. Let: RtoR be defined by f(x)=x^2-(x^2)/(1+x^2) for all x inR. Then

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  6. Let the relation p be defined on R as apb iff 1+abgt0. Then

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  7. A problem in mathematics is given to 4 students whose chances of solvi...

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  8. If X is a random variable such that sigma(X)=2.6," then "sigma(1-4X) i...

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  9. The direction ration of the normal to the plane passing through the po...

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  10. The equation of the plane, which bisects the line joining the points (...

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  11. The limit of the interior angle of the regular polygon of n sides as n...

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  12. Let f(x)gt0 for all x and f'(x) exists for all x. If f is the inverse ...

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  13. Consider the function f(x)cosx^2. Then

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  14. lim(xto0+)(e^x+x)^((1)/(x))

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  15. Let f(x) be a derivable function f'(x)gtf(x)" and " f(0)=0. Then

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  16. Let f:[1,3] toR be a continuous function that is differentiable in (1,...

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  17. Let a=min(x^2+2x+3:x inR) and b=lim(thetato0)(1-cos theta)/(theta^2). ...

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  18. Let agtbgt0 and I(n)=a^((1)/n)-b^((1)/(n)),J(n)=(a-b)^((1/(n)) for all...

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  19. If A and B are independent events , then P(B/A)=

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  20. The position vectors of the points A,B,C and D are 3hat(i)-2hat(j)-hat...

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