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If sin(sin^(-1)""(1)/(5)+cos^(-1)x)=1, t...

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

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Let * be a binary operation, on the set of all-zero real numbers, give...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Vector vec a , vec b and vec c are such that vec a+ vec b+ vec c...

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  18. The sum of the perimeters of a circle and a square is k , where k is s...

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  19. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Als...

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  20. Solve for x :2tan^(-1)(cosx)=tan^(-1)(2\ cos e c\ x)

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