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MODERN PUBLICATION-TEST PAPER 6-EXERCISE
- For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...
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- Find the least value of n for which tan^(-1)(n/π)>π/4,n varepsilon N i...
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- If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=kA , then write the value of k...
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- IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5...
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- If xin((3pi)/4,pi) what is dy/dxfor y = | cos x | + | sin x | ?
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- Give example of a function which is increasing in (-oo,2) and (3,oo) a...
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- What is the value of int e^(x)dx.
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- Write the solution of sqrt 3x+dy/dx=2.
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- Write the equation of the line passing through the points (3,-2,-5) an...
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- Find the volume of parallelopiped with edges 2vec i-3vec j ,vec i +vec...
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- Show that the relation R on the set A = {1,2,3,4,5) given by R = {(a,b...
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- Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...
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- A merchant sells two models X and Y of TV with cost price ₹ 25000 and ...
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- A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy,...
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- Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab
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- Using determinants, find the values of a if the area of triangle with ...
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- If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...
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- Using properties of determinant prove that |{:(alpha,beta,gamma),(alph...
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- Differentiate tan^-1((2x)/(1-x^2)).
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- Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...
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