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Find the area of the smaller region boun...

Find the area of the smaller region bounded by the ellipse `(x^2)/9+(y^2)/4=1` and the line `x/3+y/2=1.`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

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  2. Show that a cylinder of a given volume which is open at the top has...

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  3. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y^...

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  4. Write the value of cos^(-1)(-1/2)+2sin^(-1)(1/2)

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  5. Let R="{("a , a^3")":a is a prime number less than 5} be a relation. F...

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  6. Evaluate : int0^(pi/4)tanxdx

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  7. Evaluate : int(dx)/(sin^2xcos^2x)

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  8. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

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

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

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

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

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

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

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

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

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

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

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

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