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If Z=|{:(1,1+2i , 5i),(1-2i, -3, 5+3i),(...

If `Z=|{:(1,1+2i , 5i),(1-2i, -3, 5+3i),(5i, 5-3i, 7):}|`, then `(i =sqrt(-1))`

A

z is purely real

B

z is purely imaginary

C

`z + barz=0`

D

`(z+barz)i` is purely imaginary

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. If A and B are two matrices such that A + B and AB are both defined, t...

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  2. If A=[{:(3,x-1),(2x+3, x+2):}] is a symmetric matrix, then the value o...

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  3. If Z=|{:(1,1+2i , 5i),(1-2i, -3, 5+3i),(5i, 5-3i, 7):}|, then (i =sqrt...

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  4. The equation of the locus of the point of intersection of the straight...

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  5. If sin theta + cos theta=0 and 0 lt theta lt pi, then theta=

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  6. The value of cos 15^(@) - sin 15^(@) is:

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  7. the period of the function f(x) = cos 4x + tan 3x is:

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  8. If y=2x^(3) - 2x^(2) + 3x-5, then for x=2 and Deltax =0.1, the value o...

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  9. The approximate value of root(5)(33) correct to 4 decimal places is

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  10. The value of int(-2)^(2) (x cos x + sin x+1) dx is :

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  11. For the function f(x) = e^(cos x), Rolle's theorem is:

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  12. The general solution of the differential equation: (d^(2)y)/(dx^(2))...

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  13. If x^(2) + y^(2) =4, then y(dy)/(dx)+x=

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  14. int (x^(3)dx)/(1+x^(8))=

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  15. int(pi)^(16pi) |sin x| dx=

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  16. The degree and order of the differential equation y =x((dy)/(dx))^(2...

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  17. f(x) ={{:(0, x=0),(x-3, x gt 0):} The function f(x) is:

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  18. The function f(x) = ax + b is strictly increasing for all real x if

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  19. int(cos 2x)/(cos x) dx=

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  20. int (sin^(8)x - cos^(8)x)/(1-2sin^(2)x cos^(2)x) dx.

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