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- If x ,\ y , z are not all zero and if a x+b y+c z=0; b x+c y+a z=0; c ...
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- If a^2+b^2+c^2=-2\ a b n df(x)=|1+a^xx(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1...
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- The value of |alpha| for which the system of equation alphax+y+z=alpha...
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- If D=|1 1 1 1 1+x1 1 1 1+y|"f o r"x!=0, y!=0 then D is (1) divisibl...
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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)!=0 . If |a a+1a-1-bb+1b-1cc-1c...
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- Consider the system of linear equations; x-1\ +2x2+x3=3 2x1+3x2+3=3 3x...
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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""+"...
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- If a ,b ,c are sides of a scalene triangle, then value of |a b c b c a...
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- If the system of linear equations x1+2x2+3x3=6,\ x1+3x2+5x3=9,\ 2x2+5x...
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- Statement 1: The system of linear equations x+(sinalpha)y+(cosalpha)z=...
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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!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...
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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 x+y-lambd...
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- The number of distinct real roots of the equation |cosx s in x s in x ...
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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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