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Find the intervals in which the function `f(x)=3x^4-4x^3-12 x^2+5` is (a) strictly increasing (b) strictly decreasing

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the distance between the point (7,2,4) and the plane determined b...

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  2. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  3. Find the intervals in which the function f(x)=3x^4-4x^3-12 x^2+5 is (a...

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  4. Assume that each born child is equally likely to be a boy or ...

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  5. Let * be a binary operation, on the set of all-zero real numbers, give...

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  6. If 2[3 4 5x]+[1y0 1]=[7 0 10 5], find (x-y)dot

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  7. If sin(sin^(-1)""(1)/(5)+cos^(-1)x)=1, then find the value of x.

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  8. If |(2x,5),(8,x)|=|(6,-2),(7,3)| then the value of x is

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  9. Solve the following matrix equation for x : ,[x1][1 0-2 0]-Odot

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  10. Evaluate : int0^3(dx)/(9+x^2)

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  11. Write the antidervative of (3sqrt(x)+1/(sqrt(x)))dot

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  12. If vec a and vec b are two unit vectors such that vec a+ vec b is a...

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  13. Find the projection of the vector hat i+3 hat j+7 hat k on the vector...

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  14. Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/...

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  15. Find the equations of the tangent and normal to the curve x=asin^3t...

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  16. underset(pi/12)overset(pi/2)int(dx)/(1+sqrt(cotx))

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  17. Show that the semi-vertical angle of the cone of the maximum volume an...

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  18. cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...

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  19. सिद्ध कीजिए कि 2 tan^(-1)""(1)/(5)+sec^(-1)""(5sqrt(2))/(7)+2tan^...

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  20. Prove that, for any three vectors vec a , vec b , vec c [ vec a+ v...

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