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MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
- If the system of equations : x + 4ay+az =0, x + 3by+ bz = 0 , x + 2cy ...
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- The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...
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- If A, B and C are the angles of a triangle and |(1,1,1),(1+sinA,1+sinB...
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- If, p,q,r are negative distinct real numbers , then the determinant De...
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- The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...
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- If alpha, beta and gamma are real numbers, then : Delta=|(1,cos(beta...
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- If sin2x=1 , then |(0,cosx,-sinx),(sinx,0,cosx),(cosx,sinx,0)| equals...
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- If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...
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- The value of theta satisfying : |(sin3theta,-2,3),(cos2theta,8,-7),(...
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- Let f(x)=|(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x)| ...
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- If the system of equations x+ay+az=0 , bx+y+bz=0 , cx +cy +z=0 where a...
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- Delta1=|(x,b,a),(a,x,b),(a,a,x)|,Delta2=|(x,b),(a,x)| are the given d...
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- If p+q+r=a+b+c=0 , then the value of : |(pa,qb,rc),(qc,ra,pb),(rb,pc...
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- |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)+b^(2),ab,a+b)|=
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- If one of the roots of the equation |(7,6,x),(2,x,2),(x,3,7)|=0 is : ...
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- If a,b,c gt 0 and x,y,z , in R then the determinant : |((a^x+a^(-x)...
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- If a^2+b^2+c^2=0 and |(b^2+c^2,ab,ac),(ab,c^2+a^2,bc),(ac,bc,a^2+b^2)|...
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- If plamda^(4)+qlamda^3+rlamda^2+slamda+t =|(lamda^3+3lamda,lamda-1,lam...
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- The value of the determinant : |(1,cos(beta-alpha),cos(gamma-alpha)),(...
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- The sum of two non - integral roots of |(x,2,5),(3,x,3),(5,4,x)|=0 is ...
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