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Find the shortest distance between the lines: ` vec r=6 hat i+2 hat j+2 hat k+lambda\ ( hat i-2 hat j+2 hat k)` and ` vec r=-4 hat i- hat k+mu\ (3 hat i-\ 2 hat j-\ 2 hat k)`

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Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2 hat k+lambda( hat i-2 hat j+2 hat k)a n d\ vec r=-4 hat i- hat k+mu(3 hat i-2 hat j-2 hat k)dot

Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)

Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=(2 hat i- hat j- hat k)+mu(2 hat i+ hat j+2 hat k)

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Find the shortest distance between the following lines: vec r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k) and vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)

Find the shortest distance between lines -> r=6 hat i+2 hat j+ hat k+lambda( hat i-2 hat j+2 hat k) and -> r=-4 hat i- hat k+mu(3 hat i-2 hat j-2 hat k) .

Find the shortest distance between the lines -> r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and -> r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)

Find the shortest distance between lines vec r=( hat i+2 hat j+ hat k)+lambda(hat i- hat j+hat k)a n d vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)dot

Find the shortest distance between lines vec r=( hat i+2 hat j+ hat k)+lambda(2 hat i+ hat j+2 hat k)a n d vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)dot

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. The lengths of the sides of an isosceles triangle are 9+x^2,9+x^2 and ...

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  2. If vectors vec a=2 hat i+2 hat j+3 hat k ,\ vec b=- hat i+2 hat j+ h...

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  3. Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...

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  4. Find the coordinates of the point where the line through (3, –4, –5)...

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  5. Show that the function f(x)=|x-3|,\ x in \R , is continuous but not ...

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  6. If A=[[2,-3,5],[3,2,-4],[1,1,-2]], find A^(-1). Using A^(-1) solve the...

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  7. Find the shortest distance between the following pair of lines and ...

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  8. Let vec a= hat i-\ hat j ,\ vec b=3 hat j-\ hat k and vec c=7 hat...

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  9. A company manufactures two types of toys A and B. A toy of type A requ...

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  10. An experiment succeeds twice as often as it fails. Find the probabi...

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  11. Assume that the chances of a patient having a heart attack is 40%. ...

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  12. If x=asint\ and y=a(cost+logtan(t/2)) , find (d^2\ y)/(dx^2)

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  13. A manufacturer produces nuts and bolts. It takes 1 hour of work on m...

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  14. Of the students in a college, it is known that 60% reside in hostel...

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  15. Using the method of integration, find the area of the region bounde...

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  16. Using properties of determinants, prove that |(b+c,q+r,y+z),(c+a,r+p,z...

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  17. Find the equation of the plane determined by the points A(3, –1, 2)...

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  18. Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f...

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  19. Show that the height of a closed right circular cylinder of given s...

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  20. If [(9,-1,4),(-2,1,3)]=A+[(1,2,-1),(0,4,9)], then find the matrix A.

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