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Find the coordinates of the point where the line through (3, –4, –5) and (2, –3, 1) crosses the plane determined by points A(1, 2, 3), B(2, 2, 1) and C (-1, 3,

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. 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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  2. Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...

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

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  4. Show that the function f(x)=|x-3|,\ x in \ |R , is continuous but n...

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

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

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

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  8. A factory makes two types of items A and B, made of plywood. ...

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

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

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

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

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

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

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

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

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

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

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

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  20. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|, then write the value of x .

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