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Find the values of `a` and `b ,` if the function `f` defined by `f(x)={x^2+3x+a`; if `xlt=1, b x+2`; if `x >1` is differentiable at `x=1`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

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  2. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

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  3. Find the values of a and b , if the function f defined by f(x)={x^2...

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  4. A coaching institute of English (subject) conducts classes in two batc...

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  5. If 213(-1 0-1-1 1 0 0 1 1)(1 0-1)=A , then write the order of matrix A...

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  6. If A=(3 5 7 9) is written as A = P + Q, where P is a symmetric matrix ...

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  7. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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