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Show that vec(a), vec(b), vec(c ) are co...

Show that `vec(a), vec(b), vec(c )` are coplanar if and only if `vec(a) + vec(b), vec(b) + vec(c ), vec( c) + vec(a)` are coplanar

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

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  2. If (a+4 3b8-6)=(2a b+2 8a-8b), write the value of a-2bdot

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  3. Show that vec(a), vec(b), vec(c ) are coplanar if and only if vec(a) +...

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  4. Five cards are drawn one by one, with replacement, from a well shuf...

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  5. Find the intervals in which the function f(x)=3/2x^4-4x^3-45 x^2+51 is...

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  6. Find the approximate value of f(3. 02), upto 2 places of decimal, whe...

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  7. Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

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  8. Solve for x : cos(tan^(-1)x)=sin(cot^(-1)\ 3/4)

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  9. Solve the differential equation (x^2-y)dy+(y^2+x^2y^2)dx=0, given t...

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  10. Solve the differential equation (dy)/(dx)+ycotx=2cosx , given that ...

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  11. Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(...

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  12. Let f:W->W , be defined as f(x)=x-1 , if x is odd and f(x)=x+1 , if x ...

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  13. Using properties of determinants, prove that |[a+x,y,z],[x,a+y,z],[x,y...

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  14. x=acostheta+bsintheta and y=asintheta-bcostheta, show that y^2(d^2y)/(...

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  15. If x^my^n=(x+y)^(m+n) prove that (dy)/(dx)=y/x

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  16. Two schools P and Q want to award their selected students on the va...

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  17. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  18. Three cards are drawn at random (without replacement) from a well shuf...

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  19. Evaluate : int(xcos^(-1)x)/(1-x^2)dx

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  20. Evaluate :int(3x-2)sqrt(x^2+x+1) dx

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