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Evaluate : int0^(pi/2)(dx)/(1+sqrt(tan...

Evaluate : `int_0^(pi/2)(dx)/(1+sqrt(tanx))`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Probability of solving specific problem independently by A and B are 1...

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  2. Find the area of the region in the first quadrant enclosed by the y-ax...

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  3. Evaluate : int0^(pi/2)(dx)/(1+sqrt(tanx))

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  4. Show that the four points A, B, C and D with position vectors4 hat i+...

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  5. Find the shortest distance between the lines vec r=( hat i+2 hat j+ h...

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  6. Find the derivative of (sinx)^x+sin^(-1)sqrt(x) w.r.t. x

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  7. If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(...

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  8. Find int((x^2+1)e^x)/((x+1)^2)dx

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  9. If x=asec^3theta,y=atan^3theta, find (d^2y)/(dx^2) at theta=pi/4

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  10. Solve : tan^(-1)2x+tan^(-1)3x=pi/4

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  11. Prove that : tan^(-1)(63/16)=sin^(-1)\(5/13)+cos^(-1)(3/5)

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  12. A tank with rectangular base and rectangular sides open at the top is ...

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  13. Let f: N -> R be a function defined as f(x)=4x^2+12 x+15. Show that f:...

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  14. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  15. Find the minimum value of (a x+b y), where x y=c^2dot

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  16. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  17. Using properties of determinants, prove the following: |[1,a,a^2],[a^2...

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  18. Solve the following differential equation : (sqrt(1+x^2+y^2+x^2y^2))d...

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  19. If a=[[5,6,-3],[-4,3,2],[-4,-7,3]], then write the cofactor of the e...

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  20. Write the sum of the order and degree of the differential equation ...

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