XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- Consider f: R+ rarr [4, oo] given by f(x)=x^2+4. Show that f is inv...
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- What are the direction cosines of a line, which makes equal angles ...
03:04
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- Evaluate: int(dx)/(x(x^5+3))
02:44
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- Find the value of k so that the function f defined by f(x)={(kcosx)/(...
04:03
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- Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot
02:02
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- Find the vector and cartesian equations of the line passing through...
04:15
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- Evaluate: |(cos15^0,sin15^0),(sin75^0,cos75^0)|
01:20
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- What is the principal value of cos^(-1)cos((2pi)/3)+sin^(-1)sin((2p...
02:35
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- Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...
02:08
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- Evaluate: int0^4(|x|+|x-2|+|x-4|)\ dx
05:11
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- Evaluate: int(dx)/(sqrt(1-x^2))
01:15
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- Evaluate: int(a x+b)^3dx
06:40
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- If a matrix has 5 elements, write all possible orders it can have.
01:04
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- If A=[[2, 3],[ 5,-2]], write A^(-1) in terms of A
01:56
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- Using properties of determinants, prove the following: |[1,x,x^2],[...
01:52
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- Write the projection of the vector hat i- hat j on the vector ha...
01:24
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- Write the direction-cosines of the line joining the points (1, 0, 0...
03:34
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- Differentiate the following function with respect to x : (log\ x)^...
09:05
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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...
03:32
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- Evaluate: int0^(pi/4)(cos^2x)/(cos^2x+4sin^2x)dx\
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