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- Statement 1: If b c+q r=c a+r p=a b+p q=-1, t h e n|a p a p b q b q c...
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- If f(theta)=|sinthetacosthetasintheta costhetasinthetacostheta costhet...
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- If f(theta)=|[sin^2A,cot A,1],[sin^2B,cosB,1],[sin^2C,cosC,1]| , then...
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- The roots of the equation |^x Cr^(n-1)Cr^(n-1)C(r-1)^(x+1)Cr^n Cr^n C(...
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- Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2...
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- The determinant "Delta"=|(a^2+x) ab ac ab (b^2+x) bc ac bc (c^2+...
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- If f(x)=|[a,-1, 0],[a x, a,-1],[a x^2,a x, a]|,t h e nf(2x)-f(x) is d...
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- If g(x)-(f(x))/((x-a)(x-b)(x-c)),w h e r ef(x) is a polynomial of d...
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- If (x)= |x^2+4x-3 2x+4 13 ...
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- If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|...
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- Let f (n) = |{:(n,,n+1,,n+2),(.^(n)P(n),,.^(n+1)P(n+1),,.^(n+2)P(n+2)...
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- If |x^n x^(n+2)x^(2n)1x^a a x^(n+5)x^(a+6)x^(2n+5)|=0,AAx in R ,w h e...
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- Let x<1, then value of [[x^2+2, 2x+1 ,1],[ 2x+1,x+2, 1],[ 3, 3 ,1]...
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- If f (x) = |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|then
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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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