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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...
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- If ā,b,c are three vectors such that |veca |= 5, |vecb| = 12 and | ...
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- Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0
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- Find the particular solution of the following differential equation...
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- Let * be a binary operation of N given by a a*b=L C M\ (a , b) for all...
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- Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx
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- Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx
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- Find the Vector and Cartesian equations of the line passing through...
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- Evaluate : int((x-4)e^x)/((x-2)^3)\ dx
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- Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...
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- Find the equation of the normal at the point (a m^2, a m^3) for the ...
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- Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx
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- Find the relationship between a and b so that the function f define...
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- If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)
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- Obtain the inverse of the following matrix, using elementary operation...
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- Using matrices, solve the following system of equations: x+y+z=6; x...
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- Find the value of p , if (2 hat i+6 hat j+27 hat k) x ( hat i+3 hat j+...
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- Write the direction cosines of a line equally inclined to be three ...
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- Let* be a binary operation on N given by a*b = HCF(a ,\ b)\ a ,\ b\...
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- Find the value of x, If [[3x+y,-y],[2y-x,3]]=[[1,2],[-5,3]]
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