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Let vec a= hat i-\ hat j ,\ vec b=3 h...

Let ` vec a= hat i-\ hat j ,\ vec b=3 hat j-\ hat k` and ` vec c=7 hat i-\ hat kdot` Find a vector ` vec d` which is perpendicular to both ` hat a` and ` vec b ,` and ` vec c` . ` vec d=1`

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Let vec a= hat i- hat j ,\ vec b=3 hat j- hat k\ a n d\ vec c=7 hat i- hat kdot\ Find a vector vec d which is perpendicular to both vec a\ a n d\ vec b ,\ a n d\ vec c dot vec d=1.

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Let vec a= hat i+4 hat j+2 hat k ,\ vec b=3 hat i-2 hat j+7 hat k\ a n d\ vec c=2 hat i- hat j+4 hat kdot\ find a vector vec d which is perpendicular to both vec a and vec b and vec c vec d=15.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If A=[[2,-3,5],[3,2,-4],[1,1,-2]], find A^(-1). Using A^(-1) solve the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If vec a=x hat i+2 hat j-\ z hat k and vec b=3 hat i-\ y hat j+ hat ...

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  18. Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x\ ...

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  19. Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3...

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  20. Find the value of a if [(a-b,2a+c),(2a-b,c+d)]=[(-1,5),(0,13)]

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