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Find a vector in the direction of vector `2 hat i-3 hat j+6 hat k` k which has magnitude 21 units.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the shortest distance between the lines l1 and l2 whose vector ...

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  2. Find a unit vector perpendicular to both of the vectors vec a+ vec b ...

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  3. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k k whi...

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  4. Write the projection of vector hat i+ hat j+ hat k along the vector ...

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  5. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

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  6. Show that a cylinder of a given volume which is open at the top has...

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  7. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y^...

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  8. Write the value of cos^(-1)(-1/2)+2sin^(-1)(1/2)

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  9. Let R="{("a , a^3")":a is a prime number less than 5} be a relation. F...

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  10. Evaluate : int0^(pi/4)tanxdx

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  11. Evaluate : int(dx)/(sin^2xcos^2x)

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  12. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

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  13. If (a+4 3b8-6)=(2a b+2 8a-8b), write the value of a-2bdot

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  14. Show that vec(a), vec(b), vec(c ) are coplanar if and only if vec(a) +...

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  15. Five cards are drawn one by one, with replacement, from a well shuf...

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  16. Find the intervals in which the function f(x)=3/2x^4-4x^3-45 x^2+51 is...

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  17. Find the approximate value of f(3. 02), upto 2 places of decimal, whe...

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  18. Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

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  19. Solve for x : cos(tan^(-1)x)=sin(cot^(-1)\ 3/4)

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  20. Solve the differential equation (x^2-y)dy+(y^2+x^2y^2)dx=0, given t...

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