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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...
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- If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...
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- If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=
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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 the determinant |[10!,11!,12!],[11!,12!,13!],[12!,13!,14...
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- If omega is an imaginary cube root of unity, then the value of |[a,b ...
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- Let a, b, c be such that b(a+c) ne 0. If |[a,a+1,a-1],[-b,b+1,b-1],[c...
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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-...
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- Let a, b, c be positive real numbers. The following system of equation...
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- Given, 2 x-y+2 z=2 x-2y+z=-4 x+y+lambda z=4 then the value of...
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- If the system of equations x+a y=0, a z+y=0 and a x+z=0 has infinite s...
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- The number of values of k for which the system of equations : (k+1)x...
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- If the system of the equations : x - ky-z=0, kx - y - z = 0, x+y-z=0...
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- The number of values of k for which the linear equations : 4x+ky+2z=...
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- Consider the system of linear equations : x1+2x2+x3=3 2x1+3x2+x3=3...
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- The system of equations alpha x+y+z=alpha-1 x+alpha y+z=alpha-1 ...
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- If the system of equations : x + 4ay+az =0, x + 3by+ bz = 0 , x + 2cy ...
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- The value of a for which the system of equations a^3 x+(a+1)^3y+(a...
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- The system of equations : x+y+z =6 x+2 y+3 z =10 x+2 y+lambda z ...
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- Consider the system of equations in x, y, z as x sin3theta-y+z =0 ...
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