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- Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are non...
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- Which of the following is not the root of the equation |[x,-6,-1],[ 2,...
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- If A,B,C are the angles of a non right angled triangle ABC. Then find ...
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- If f(x)=|x a a a x a a a x|=0, then f^(prime)(x)=0a n df^(x)=0 has com...
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- Evaluate {:[( cos alpha cos beta , cos alpha sin beta , -sin alpha ),...
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- Roots of the equation |x m n1a x n1a b x1a b c1|=0 are independent of ...
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- Prove that the value of determinants is zero: |a-b b-c c-a x-y y-z ...
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- If a ,b ,c are different, then the value of |0x^2-a x^3-b x^2+a0x^2+c ...
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- Prove that the value of each the following determinants is zero: |...
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- If |b+cc+a a+b a+bb+cc+a c+a a+bb+c|=k|a b cc a bb c a| , then value o...
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- A triangle has vertices Ai(xi , yi)fori=1,2,3 If the orthocentre of tr...
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- If alpha,beta,gamma are the roots of a x^3+b x^2+c x+d=0a n d|alpha ...
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- If Delta=|(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)| and Delta1=|(a1+pb1,b1+q...
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- Prove that the value of each the following determinants is zero: |...
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- The value of the determinant [(1^2, 2^2, 3^2, 4^2) ,(2^2, 3^2 ,4^2,5^2...
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- If f(x)=|1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then...
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- Show that |(log x, log y, logz),(log 2x, log2y, log2z),(log3x, log3y,l...
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- If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...
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- {:[( 1,1+p,1+p+q),( 2,3+2p,4+3p+2q),( 3,6+3p,10+6p+3q)]:}=1
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- If |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0)|=0, prove that...
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