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A family has 2 children. Find the probab...

A family has 2 children. Find the probability that both are boys, if it is known that: (i) at least one of the children is a boy,            (ii) the elder child is a boy.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Express the following matrix as the sum of a symmetric and skew symmet...

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  2. Show that the relation S in the set A={x\ \ Z\ :0\ lt=x\ lt=12} given ...

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  3. A family has 2 children. Find the probability that both are boys, i...

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  4. Find lambda if (2 hat i+6 hat j+14 hat k)xx\ ( hat i-\ lambda hat j+7...

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  5. Evaluate the following: int(x+2)/(sqrt((x-2)(x-3)))\ dx

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  6. Show that the differential equation ((x-y)dy)/(dx)=x+2y , is homoge...

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  7. In a certain college, 4% of boys and 1% of girls are taller than 1....

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  8. A company produces soft drinks that has a contract which requires t...

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  9. Find the vector equation of the plane passing through the points (2...

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  10. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  11. Find the area of the region in the first quadrant enclosed by x-a xi s...

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  12. Show that the altitude of the right circular cone of maximum volume ...

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  13. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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  14. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  15. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 h...

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  16. Evaluate : int(cosx)/((2+sinx)dx\ (3+4sinx)

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  17. If [[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[k,23]], then write the value o...

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  18. Find the particular solution of the differential equation. (dy)/(dx...

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  19. Show that f\ : NvecN ,\ given by f(x)={x+1, if\ x\ i s\ od dx-1,\ \ ...

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  20. Evaluate : int(logx)/x\ dxdot

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