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Let I=((1,0,0),(0,1,0),(0,0,1)) and P=((...

Let `I=((1,0,0),(0,1,0),(0,0,1))` and `P=((1,0,0),(0,-1,0),(0,0,-2))`. Then the matrix `P^(3)+2P^(2)` is equal to

A

P

B

`I-P`

C

`2I+P`

D

`2I-P`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. Let f(x)=2^(100)x+1, g(x)=3^(100)x+1. Then the set of real ...

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  2. The limit of x sin(e^(1//x)) as x to 0

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  3. Let I=((1,0,0),(0,1,0),(0,0,1)) and P=((1,0,0),(0,-1,0),(0,0,-2)). The...

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  4. If alpha, beta are the roots of the quadratic x^(2)+ax+b=0, (b ne 0), ...

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  5. The value of 1000[(1)/(1xx2)+(1)/(2xx3)+(1)/(3xx4)+……+(1)/(999xx1000)]...

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  6. The value of the determinant |(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^...

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  7. If the distance between the foci of an ellipse is equal to length of t...

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  8. For the curve x^(2)+4xy+8y^(2)=64 the tangents are parallel to the x-a...

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  9. The value of I=int(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int(0)^((pi)/(2)...

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  10. Let f(theta)=(1+sin^(2)theta)(2-sin^(2)theta). Then for all values of ...

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  11. Let f(x)={{:(x^(3)-3x+2", "xlt2),(x^(3)-6x^(2)+9x+2", " x ...

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  12. The limit of sum(n=1)^(1000)(-1)^(e )x^(e ) as x to oo

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  13. If f(x)=e^(x)(x-2)^(2) then

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  14. Let f:R to R be such that f is injective and f(x)f(y)=f(x+y) for all x...

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  15. The number of solutions of the equation (1)/(2)log(sqrt(3))((x+1)/(x+5...

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  16. The area of the region bounded by the parabola y=x^(2)-4x+5 and the st...

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  17. The value of the integral int(1)^(2)e^(-x)(log(e )x+(x+1)/(x))dx is

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  18. Let P=1+(1)/(2xx2)+(1)/(3xx2^(2))+ …………. and Q=(1)/(1xx2)+(1)/(3xx4...

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  19. Let f(x)=sin x + 2 cos^(2)x, (pi)/(4)le x le (3pi)/(4). Then f attains...

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  20. Each of a and b can take value 1 or 2 with probability. The probabilit...

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