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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- If siny=sin(a+y),\ \ prove that (dy)/(dx)=(sin ^2\ (a+y))/(sina)
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- If (cos"x")^y=(sin y)^x , find (dy)/(dx)
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- Solve the following differential equation: ((x^2-1)dy)/(dx)+2x y=1/(x...
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- Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...
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- If y=logtan(pi/4+x/2),\ show that (dy)/(dx)=secxdot Also find the ...
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- If y=cos^(-1)((2^x+1)/(1+4^x), find (dy)/(dx)
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- Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\ x)\ dxdot
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- From the following matrix equation, find the value of x:[[x+y,4],[-5,...
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- Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...
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- Form the differential equation representing the family of ellipses ...
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- Prove the following, using properties of determinants: |[a+b+2c,a,b],[...
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- Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...
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- Using properties of determinants, prove the following |(a^2,ab,ac),(ab...
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- 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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