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FIITJEE-DETERMINANT-SOLVED PROBLEMS (OBJECTIVE)
- Given, 2x - y + 2z = 2, x - 2y + z = -4, x + y+ lamda z = 4,then the v...
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- If y = sin px and yn is the nth derivative of y , then find the value ...
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- If alpha,beta,gamma are the roots of the equation (x^3+x^2+x+1)=0 then...
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- Let a x^7+b x^6+c x^5+dx^4+e x^3+fx^2+gx+h=|[x+1,x^2+2,x^2+x],[x^2+x,x...
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- If D=|{:(2,1,[sin^2 theta]),([sin^2 theta],cos theta,i),(i,1,sin theta...
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- If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)...
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- Delta=|{:(" "p,2-i,i+1),(2+i," "q,3+i),(1-i,3-i," "r):}| is always
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- If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(b...
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- The system of equations x+2y +3z =4, 2x+3y+4z=5,3x+4y+5z=6 has
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- There are three points (a,x) ,(b,y) and (c,z) such that the straight l...
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- The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...
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- If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...
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- Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...
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- The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...
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- A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...
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- A 3 xx 3 determinant has its entries 1 or-1 . The number of such deter...
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- A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...
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- Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...
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- Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...
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- Statement -1 : Let a,b,c are the sides of a DeltaABC such that |{:(a,a...
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