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If f: R rarr R is defined by f(x)=3x+2,...

If `f: R rarr R` is defined by `f(x)=3x+2,\ ` define `f\ [f(x)]dot\ `

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Write the position vector of the mid-point of the vector joining th...

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  2. If vec a\ dot\ vec a=0 and vec a\ dot\ vec b=0, then what can be c...

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  3. If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]dot\

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  4. Write the principal value of tan^-1 (-1)

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  5. Write the values of x-y+z from the following equation: [[x+y+z], [x+z ...

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  6. Write the order of the product matrix : [[1], [2], [3]] [[2,3,4]]

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  7. If |[x, x],[ 1, x]|=|[3, 4],[ 1, 2]|, write the positive value of x

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  8. Evaluate: int((1+logx)^2)/x\ dxdot

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  9. Evaluate: int1^(sqrt(3))(dx)/(1+x^2)

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  10. If int(a x+b^2)\ dx=f(x)+c , find f(x)

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  11. For what value of p , is ( hat i+ hat j+ hat k)p a unit vector?

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  12. Find | vec x| , if for a unit vector vec a ,\ ( vec x-\ vec a)dot( v...

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  13. What is the value of the following determinant? Delta=|[4,a, b+c],[4...

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  14. What is the domain of the function sin^(-1)x ?

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  15. If 'f' is an invertible function, defined as f(x)=(3x-4)/5, write f...

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  16. Write a square matrix of order 2, which is both symmetric and skew ...

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  17. Find the direction cosines of the line passing through the followin...

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  18. If A=[[1, 2],[ 4, 2]], then find the value of k if |2A|=k\ |A|

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  19. If | vec a|=sqrt(3)\ | vec b|=2\ \ and vec a.vec b=sqrt(3,)\ find t...

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  20. A pair of dice is thrown 4 times. If getting a doublet is considere...

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