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Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx...

Evaluate: `int_0^pi(xsinx)/(1+cos^2x)\ dx`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the projection of vec b+ vec c on vec a where vec a=7 hat...

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  2. A card is drawn at random from a well-shuffled pack of 52 cards. Fi...

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  3. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  4. An urn contains 6 red and 5 blue balls. Two balls are drawn at rand...

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  5. A particle is projected with a velocity of 39.2 m/sec at an elevati...

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  6. Find the resultant of two velocities 6 km/hr and 6\ sqrt(2) km/hr i...

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  7. Two forces act at a point and are such that if the direction of one...

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  8. Find the equation of the plane passing through the intersection of ...

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  9. Find the equation of the sphere which is passing through the points ...

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  10. Find the value of lambda , which makes the vectors vec a ,\ vec b...

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  11. A particle starting with initial velocity of 26 m/sec moves with a ...

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  12. A body of mass 50 kg, suspended by two strings of lengths 30 cm and...

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  13. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

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

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  15. If y=acos(logx)+bsin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)...

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  16. Verify Rolle's theorem for the function f(x)=\ x^2-5x+6 on [2, 3].

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  17. Using matrices, solve the following system of equations: 2x-y+z= -3, ...

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  18. Find the derivative of cos(2x+1) w.r.t. x from first principle.

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  19. Evaluate: \lim{x\rightarrow0}\ ((sqrt(1+x)\ -\ sqrt(1-x))/(sin^(-1)x))

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  20. Solve the following differential equation : ("x"^2-1)"dy"/("dx")+2"xy...

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