If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a...

If `|(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))|!= 0|(a_(1)+b_(1)x, a_(1)x+b_(1),c_(1)),(a_(2)+b_(2)x,a_(2)x+b_(2),c_(2)),(a_(3)+b_(3)x,a_(3)x+b_(3),c_(3))|=0` then `x=`

-1

`+-1`

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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)

If |(a,b,0),(0,a,b),(b,0,a)|=0 then
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If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 the...
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If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))|!= 0|(a(1)+b(1)...
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If (b-c)^(2)!=(a-b)(c-a) and |(a+x,b+x,c+x),(b+x,c+x,a+x),(c+x,a+x,b+x...
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If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 then x=
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If x=-9 is a root of |(x,3,7),(2,x,2),(7,6,x)|=0, then the other two r...
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If alpha, beta, gamma are the roots of x^(3)+px+q=0 then |(alpha, beta...
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If a!=p,b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 then the value of P/...
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If a,b,c, are in A.P. then |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|...
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|(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0)|=
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If |(a,b,a alpha+b),(b,c, b alpha+c),(a alpha+b, b alpha+c,0)|=0 then
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|(1+i,1-i,1),(1-i,1,1+i),(1,1+i,1-i)|=
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If |(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(...
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If D(r)=|(r,x,n(n+1)//2),(2r-1,y,n^(2)),(3r-1,z,n(3n+1)//2)| then sum(...
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If D(r)=|(2^(r-1),2(3^(r-1)),4(5^(4-1))),(x,y,z),(2^(n)-1,3^(n)-1,5^(n...
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Find the rank of the matrix A=[(1,3),(0,1)]
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|(.^(x)C(r),.^(x)C(r+1),.^(y)C(r+2)),(.^(y)C(r),.^(x)C(r+1),.^(y)C(r+2...
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If n is a positive integer, then |(n!,(n+1)!,(n+2)!)),((n+1)!,(n+2)!,(...
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If in is a positive inteter D=|(n!,(n+1)!,(n+2)!),((n+1)!,(n+2)!,(n+3...
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If Delta(1)=|(1,a,bc),(1,b,ca),(1,c,ab)|,Delta(2)=|(1,a,a^(2)),(1,b,b^...
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