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MODERN PUBLICATION-TEST PAPER 3-PROBLEM
- If |[a,b,c],[b,a,b],[x,b,c]|=0 then x=.
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- If A is a square matrix of order 3 and |A|=3,then write the matrix rep...
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- Differentiate tan^-1x w.r.t cot^-1((1)/x)
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- Write the set of values of x for which the function f(x) = sinx - x is...
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- State order and degree of (Y'')^2+cos(Y')
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- If |vec a.vec b|=|vec axxvec b| then angle between them is.
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- Find the value of lambda so that the vectors veca and vecb are perpend...
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- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
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- A trust fund has Rs. 50,000 that is to be invested in two types of ...
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- Find the inverse of the following matrices using elementary transforma...
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- Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...
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- If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...
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- If y=In(x^2 +y^2),then find dy/dx.
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- If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)
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- Test the differentiability and continuity of the following function at...
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- Determine the interval in which the function f(x) = x^3-5x^2+3x+97 is ...
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- int0^piabs(cosx)dx
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- Solve :(1 + y^2).dx+xdy = tan^-1y dy
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- A plane meets the coordinate axes at A, B and C respectivély. If the c...
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- Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.
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