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Find the unit vector in the direction of the sum of the vectors `2 hat i+3 hat j- hat k` and `4 hat i-3 hat j+2 hat kdot`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Using integration, find the area of the region bounded by the line x...

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  2. Find the probability distribution of the number of doublets in four...

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  3. Find the unit vector in the direction of the sum of the vectors 2 hat ...

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  4. Find the area of a parallelogram whose adjacent sides are represente...

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  5. Find the sum of the intercepts cut off by the plane 2x+y-z=5 , on the ...

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  6. If 2tan^(-1)(costheta)=tan^(-1)(2cos e ctheta),(theta!=0) , then find ...

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  7. If tan^(-1)(1/(1+1. 2))+tan^(-1)(1/(1+2. 3))+.... +tan^(-1)(1/(1+n.(n+...

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  8. Evaluate : int(sin(x-a))/(sin(x+a))dx

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  9. Maximise z = 8x + 9y subject to the constraints given below : 2x+3...

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  10. Evaluate: inte^(2x)sin(3x+1)\ dx

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  11. In a parliament election, a political party hired a public relation...

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  12. Find whether the following function is differentiable at x = 1 and x...

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  13. If y=(x+sqrt(1+x^2))^n , then show that (1+x^2)(d^2y)/(dx^2)+x(dy)/(d...

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  14. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

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  15. Find the equation of a plane which passes through the point (3, 2, ...

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  16. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent t...

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  17. Evaluate : int(-pi/2)^(pi/2)(cosx)/(1+e^x)dx

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  18. Evaluate : int(x^2)/((x^2+4)(x^2+9))dx

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  19. Two numbers are selected at random (without replacement) from posit...

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  20. If A=[[2,-1],[-1, 2]] and I is the identity matrix of order 2, then ...

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