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ARIHANT PUBLICATION-QUESTION PAPER 2018-SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)
- Differentiate y=(siny)^(sin2x)
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- Test the continuity of the following function at x=0 f(x)={{:((1-e^(...
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- From the differential equation whose general solution is y=asint+be^t.
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- Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...
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- Evaluate int (dx)/((x+1)sqrt(1-x^2))
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- int(0)^(1/2)(1)/(sqrt(1-x^(2)))dx.
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- Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.
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- Prove that the measure of the angle between two main diagonals of a cu...
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- The position vectors of two points A and B are 3hati+hatj+2hatk and ha...
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- Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...
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- Prove that [(veca+vecb,vecb+vecc,vecc+veca)]=2[(veca,vecb,vecc)].
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...
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- Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...
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- int(0)^(1)(1)/(1-x^(2))dx.
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- Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...
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- In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...
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- By elementary operations, find A^(-1) for the following: A=[[1,1,0],[1...
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- Solve the following system of equations by the matrix inversion method...
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- Two cards are drawn successively with replacement from a well-shuffled...
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