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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2
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- Prove the following: cot^(-1)[(sqrt(1+sinx )+sqrt(1-sinx))/(sqrt(1+sin...
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- Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))
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- Using properties of determinants, prove the following |[x,x+y,x+2y],[x...
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- Consider f\ : R+vec[4,oo) given by f(x)=x^2+4 . Show that f is inve...
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- Differentiate the following with respect to x : sin^(-1)((2^(x+1). 3^x...
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- If y^x=e^(y-x), prove that (dy)/(dx)=((1+logy)^2)/(logy)
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- Write the cartesian equation of a plane, bisecting the line segment...
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- Solve the following differential equation: y\ dx+xlog(y/x)dy=2x\ dy
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- Find the particular solution of the following differential equation...
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- Write the value of sin[pi/3-sin^(-1)(-1/2)]
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- For a\ 2\ xx\ 2\ matrix, A=[a(i j)], whose elements are given by a...
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- Evaluate: int1^3(2x^2+5x)dx as limit of a sum
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- State the reason for the relation R in the set {1, 2, 3} given by R=...
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- Write the value of intsecx\ (secx+tanx)\ dx
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- Write the value of int(dx)/(x^2+16)
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- For what value of x, the matrix [(5-x,x+1),(2,4)] is singular?
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- Write A^-1 for A=[(2,5),(1,3)]
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- For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a h...
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- Write the direction cosines of the vector -2 hat i+ hat j-5 hat k
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