If the determinant |(cos2x,sin^2 x,cos ...

If the determinant `|(cos2x,sin^2 x,cos 4x),(sin^2 x,cos 2x,cos^2 x),(cos 4x,cos^2 x,cos 2x)|` is expanded in powers of `sin x`, then the constant term is

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When the determinant |{:(cos2x,sin^(2)x,cos4x),(sin^(2)x,cos2x,cos^(2)x),(cos4x,cos^(2)x,cos2x):}| is expanded in powers of sin x , the constant term in than or equal to expression is

If determinant |[cos^(2)x,sin^(2)x,cos^(2)x],[sin^(2)x,cos^(2)x,sin^(2)x],[cos^(2)x,sin^(2)x,-cos^(2)x]| is expanded as a function of sin^(2)x ,then the absolute value of constant term in expansion of function is

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AAKASH INSTITUTE-DETERMINANTS -SECTION - B

Find the value of k so that A^2=8A+kI where A=[(1,0),(-1,7)].
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If A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}] then A...
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If A is a matrix of order 3 and |A|=2, then A |adj A| is
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The value of the determinant |{:(""^5C0,""^5C3,14),(""^5C1,""^5C4,1),(...
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If Delta1=|{:(10,4,3),(17,7,4),(4,-5,7):}|,Delta2=|{:(4,x+5,3),(7,x+12...
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The value of |{:(x,x^2-yz,1),(y,y^2-zy,1),(z,z^2-xy,1):}| is
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The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6...
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The value of the determinant |(-(2^5 + 1)^2,2^10 -1,1/(2^5-1)),(2^10...
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If the determinant |(cos2x,sin^2 x,cos 4x),(sin^2 x,cos 2x,cos^2 x),(...
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if alpha,beta,gamma are non-real numbers satisfying x^3-1=0, then the ...
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The value of sum(n=1)^(N) Un=|{:(n,1,5),(n^2,2N+1,2N+1),(n^3,3N^2,3N):...
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If a gt0, bgt0,cgt0 are respectively the p^("th"),q^("th"),r^("th") te...
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Let a, b, c be positive and not all equal. Then possible value of the ...
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The greatest value of x satisfying the equation |(2^11-x,-2^12,2^11),...
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If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3)...
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If all elements of a third order determinant are equal to 1 or -1. the...
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If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to
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