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- If D=|(1, 1, 1), (1, 1+x, 1), (1, 1, 1+y)| for x!=0, y!=0 then D is (...
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- Let a, b, c be any real numbers. Suppose that there are real number...
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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)...
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- Consider the system of linear equations; x-1\ +2x2+x3=3, 2x1+3x2+3=3, ...
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- The number of value of k for which the linear equations 4x+k y+2z=0k x...
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- If the trivial solution is the only solution of the system of equation...
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- The number of values of k for which the system of equations (k+1)x+8y=...
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- If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,...
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- If the system of linear equations x1+2x2+3x3=6,\ x1+3x2+5x3=9,\ 2x2+5x...
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- Assertion : The system of linear equations x+(sinalpha)y+(cosalpha)z=0...
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- Consider the system of equations x+a y=0,\ y+a z=0.\ Then the set of ...
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- if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...
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- The set of all values of lamda for which the system of linear equation...
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- The system of linear equations x+lambday -z=0 lambdax -y-z=0 ...
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- The number of distinct real roots of the equation |{:(cosx, sinx, sinx...
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- Test the consistency and solve them when consistent the following s...
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- Let a ,b ,c be real numbers with a^2+b^2+c^2=1. Show that the eq...
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- The number of values of k for which the system of the equations (k+1)x...
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- Consider the system of equations x-2y+3z=1;-x+y-2z=; x-3y+4z=1. State...
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- Solve for theta for the equation 4cot2θ=cot ^2θ−tan ^2θ .
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