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Find the shortest distance between the lines `vecr = 2hati - hatj + hatk + lambda(3hati - 2hatj + 5hatk), vecr = 3hati + 2hatj - 4hatk + mu(4hati - hatj + 3hatk)`

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The shortest distance between the lines vecr = (2hati - hatj) + lambda(2hati + hatj - 3hatk) vecr = (hati - hatj + 2hatk) + lambda(2hati + hatj - 5hatk)

Find the shortest distance between the lines vecr = 3 hati + 2hatj - 4 hatk + lamda ( hati +2 hatj +2 hatk ) and vecr = 5 hati - 2hatj + mu ( 3hati + 2hatj + 6 hatk) If the lines intersect find their point of intersection

Find the shortest distance between the lines bar(r) = (4hati - hatj) + lamda(hati + 2hatj - 3hatk) and bar(r) = (hati - hatj + 2hatk) + mu(hati + 4hatj - 5hatk).

The shortest distance between the lines r = ( - hati - hatj - hatk ) + lamda ( 7 hati - 6 hatj + hatk ) and r = ( 3 hati + 5 hatj + 7 hatk ) + mu ( hati - 2 hatj + hatk )

Find the shortest distance between the lines vecr = hati+ hatj+hatk+lambda(3hati-hatj) and vecr=4hati-hatk+mu(2hati+3hatk)

The shortest distance between the lines vecr = (-hati - hatj) + lambda(2hati - hatk) and vecr = (2hati - hatj) + mu(hati + hatj -hatk) is

Find the shortest distance between lines vecr = 6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr = -4hati-hatk +mu(3hati-2hatj-2hatk) .

If d is the shortest distance between the lines vecr =(3hati +5hatj + 7hatk)+lambda (hati +2hatj +hatk) and vecr = (-hati -hatj-hatk)+mu(7hati-6hatj+hatk) then 125d^(2) is equal to ____________.

Find shortest distance between the line vecr = (5hati + 7hatj + 3hatk )+lambda (5hati-6hatj+2hatk)and vecr = (9hati+13hatj+15hatk)+s (-3hati+hatj-hatk)

Find the shortest distance between the lines vecr=3hati+5hatj+7hatk+lamda(hati-2hatj+hatk) and vecr=-hati+hatj-hatk+mu(2hati-6hatj+hatk)

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Find : int{(x^3 + 1)/(x^3-x)}dx

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  2. If tan^(-1)(Y/X) = log (sqrt(X^2+Y^2)) , prove that (dy/dx) = ((X+Y)/(...

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  3. Find the shortest distance between the lines vecr = 2hati - hatj + hat...

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  4. Find: int((tan^(3)x)/(cos^(3)x)) dx

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  5. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

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  6. Find f'(x) if f(x) = tan x^(tan x)

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  7. If y=e^acos^((-1)x),-1lt=x<1,s howt h a t (1-x^2)(d^2y)/(dx^2)-x(dy)/...

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  8. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  9. The area of the triangle formed by the vertices O, A, and B, where vec...

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  10. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

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  11. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

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  12. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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  13. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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  14. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

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  15. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

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  16. check whether the relation R in the set N of natural numbers given by ...

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  17. The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...

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  18. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  19. If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...

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  20. Find the equation of the plane passing through the points (1,0,-2),(3,...

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