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Show that the lines vec r=3 hat i+2 ha...

Show that the lines ` vec r=3 hat i+2 hat j-4 hat k+lambda( hat i+2 hat j+2 hat k);` ` vec r=5 hat i-\ 2 hat j+mu(3 hat i+2 hat j+6 hat k)` ; are intersecting. Hence find their point of intersection.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove the following: |a^2a b a c a ...

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  2. The probabilities of two students A and B coming to the school in t...

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  3. Show that the lines vec r=3 hat i+2 hat j-4 hat k+lambda( hat i+2 ha...

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  4. Find the particular solution of the differential equation satisfyin...

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  5. Find the general solution of the differential equation xlogx\ dot(...

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  6. If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...

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  7. If y="sin"(logx), then prove that (x^2d^2y)/(dx^2)+x(dy)/(dx)+y=0

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  8. Find the value of k , for which f(x)={{(sqrt(1+k x)-\ sqrt(1-k x))/(x...

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  9. Two cards are drawn simultaneously (or successively without replace...

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  10. One kind of cake requires 200 g of flour and 25 g of fat, and anoth...

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  11. If vec a ,\ vec b ,\ vec c are three vectors such that vec ado...

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  12. The probability that A hits a target is 1/3 and the probability tha...

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  13. Using matrices, solve the following system of linear equations: 3x-2...

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  14. Show that the lines (x+3)/(-3)==(z-5)/5;(x+1)/(-1)=(y-2)/2=(z-5)/5 are...

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  15. Using integration, find the area of the region: {(x , y):9x^2+y^2l...

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  16. Consider the binary operations ** \: R\ xx\ R -> R and o\ : R\ xx\ R ...

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  17. Evaluate: intx^2\ dotcos^(-1)\ x\ dx

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  18. Evaluate : int1/(x+xlogx)\ dx

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  19. Find the area of the greatest rectangle that can be inscribed in an...

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  20. If the binary operation **, defined on Q, is defined as a**b=2a+b-a ...

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