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If vec a , vec b , vec c are unit vecto...

If ` vec a , vec b , vec c` are unit vectors such that ` vec a+ vec b+ vec c= vec0,` then write the value of ` vec a . vec b+ vec b . vec c+ vec c . vec a`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

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  2. If | vec a X vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then wri...

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  3. If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ ve...

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  4. Write the equation of a plane which is at a distance of 5sqrt(3) units...

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  5. Using integration find the area of the region bounded by the curves y=...

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  6. If f,g:R->R be two functions defined as f(x)=|x|+x and g(x)=|x|-x. Fi...

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  7. In order to supplement daily diet, a person wishes to take X and Y ...

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  8. Bag A contains 3 red and 5 black balls, while bag B contains 4 red and...

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  9. Find the equation of the plane which contains the line of intersection...

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  10. Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

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  11. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  12. Evaluate: int((x^2+1)(x^2+4))/((x^2+3)(x^2-5))\ dx

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  13. Find : int(2x+5)sqrt(10-4x-3x^2)dx

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  14. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

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  15. Prove that the line through A(0,1,1) and B(4,5,1) intersects the line ...

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  16. Solve the following differential equation : (cot^(-1)y+x)dy=(1+y^2)dx

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  17. If vec aX vec b= vec cX vec d and vec aX vec c= vec bx vec d , show ...

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  18. Find : int(xsin^(-1)x)/(sqrt(1-x^2))dx

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  19. Solve the following differential equation : y^2dx+(x^2-x y+y^2)dy=0

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  20. Evaluate : int0^pix/(1+sinalphasinx)dx

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