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- Let X, Y be non-empty sets such that abs(X)=m and abs(Y)=n. If mltn, t...
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- What is the value of sec^2(tan^(-1)2)+cosec^2(cot^(-1)3)?
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- With 4 different elements how many different determinant of order 2 ca...
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- If A is a square matrix of order 3 such that abs(A)=5, then what is th...
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- If f(x)=(1+2x)^(frac[1][x]),xne0 is continuous at x=0, then what is th...
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- Write the least value of f(x)=ax+frac[b][x], where agt0,bgt0 andxgt0.
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- Write the value of intfrac[(x^2+1)dx][1+x^4].
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- What will be the substitution for which the equation frac[dy][dx]+p(x)...
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- If veca=2vecb and vecc=-3vecb, then what is the angle between veca and...
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- What is the number of independent constants that occur in the general ...
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- Show that the relation R on Z – {0} defined by R={(m,n)|frac[m][n] is ...
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- Show that the function f:RRrightarrowRR defined by f(x)={(x^2-frac[1][...
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- Solve for x, cos^(-1)x +sin^(-1)((x)/(2)) =(pi)/(6).
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- Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...
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- A diet for a sick person must contain at least 4000 units of vitamins,...
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- Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...
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- Find inverse of the following matrices by elementary row/column operat...
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- If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...
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- Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...
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- Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...
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