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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- Consider f: R^+ rarr [4, oo] given by f(x)=x^2+4. Show that f is inver...
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- What are the direction cosines of a line, which makes equal angles ...
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- Evaluate: int(dx)/(x(x^5+3))
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- Find the value of k so that the function f defined by f(x)={(kcosx)/(...
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- Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot
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- Find the vector and cartesian equations of the line passing through...
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- Evaluate: |(cos15^0,sin15^0),(sin75^0,cos75^0)|
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- What is the principal value of cos^(-1)cos((2pi)/3)+sin^(-1)sin((2p...
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- Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...
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- Evaluate: int(dx)/(sqrt(1-x^2))
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- Evaluate: int(a x+b)^3dx
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- If a matrix has 5 elements, write all possible orders it can have.
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- If A=[[2, 3],[ 5,-2]], write A^(-1) in terms of A
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- Using properties of determinants, prove the following: |[1,x,x^2],[...
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- Write the projection of the vector hat i- hat j on the vector ha...
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- Write the direction-cosines of the line joining the points (1, 0, 0...
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- Differentiate the following function with respect to x : (log\ x)^...
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- If y=log[x+sqrt(x^2+a^2)\ ] , show that (x^2+a^2)(d^2\ y)/(dx^2)+x(dy)...
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- Evaluate: int1^3(x^2+x)dx
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- Show that of all the rectangles inscribed in a given fixed circle, ...
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