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Find the vector equation of the line pas...

Find the vector equation of the line passing through `(2,1,-1)` and parallel to the line `vec r= (hat i+hat j)+lambda(2hat i-hat j+hat k)`. Also, find the distance between these two lines.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
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  2. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  3. Find the vector equation of the line passing through (2,1,-1) and para...

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  4. Prove that the radius of the right circular cylinder of greatest cu...

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  6. Find the general solution of the differential equation e^(y-x) dy/dx ...

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  7. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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  8. If the radius of circle is increasing at the rate of 0.5 cm/s, then th...

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  9. The function f : R rarr R given by f(x) = - |x-1| is (a) continuous...

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  10. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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  11. Find a vector vecr equally inclined to the three axes and whose magnit...

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  12. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

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  13. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

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  14. The coordinates of the foot of the perpendicular drawn from the point ...

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  15. If A={1,3,5}, then the number of equivalence relations on A containing...

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  16. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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  17. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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  18. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 is ...

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  19. The range of the principal value branch of the function y= sec^(-1)x i...

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  20. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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