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Find the equation of the sphere which ...

Find the equation of the sphere which is passing through the points (0, 0, 0), (0, 1, -1), (-1, 2, 0) and (1, 2, 3).

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Two forces act at a point and are such that if the direction of one...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Using integration calculate the area of the region bounded by the t...

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  16. Evaluate int0^2(2x^2+\ x+5)dx as limit of a sum.

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  17. Solve the following differential equation: ("y"^2- "x"^2)"dy"=3"x y ...

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  18. Verify that "y"="Acos x"-"Bsinx" is solution of the differential eq...

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  19. A window is in the form of a rectangle surmounted by a semi-circle. ...

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  20. An open box, with a square base, is to be made out of a given quanti...

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