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CENGAGE ENGLISH-DETERMINANTS-All Questions
- Consider a system of linear equation in three variables x,y,z a1x+b...
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- If f(x)=|[a,-1, 0],[a x, a,-1],[a x^2,a x, a]|,using properties of det...
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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 degr...
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- If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 104]...
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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)=|nn+1n+2^n Pn^(n+1)P(n+1)^n Pn^n Cn^(n+1)C(n+1)^(n+2)C(n+2)| ...
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- If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...
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- Let x<1, then value of |[x^2+2, 2x+1 ,1],[ 2x+1,x+2, 1],[ 3, 3 ,1]| is...
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- Find the number of real root of the equation |[0,x-a, x-b],[ x+a,0,x-...
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- Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonz...
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- If e^(itheta)=costheta+isintheta, find the value of |[1,e^(ipi//3),e...
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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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- Let f(x)=a5x^5+a4x^4+a3x^3+a2x^2+a1x , where ai ' s are real and f(x)=...
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- Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,...
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- Roots of the equation |x m n1a x n1a b x1a b c1|=0 are independent o...
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- Prove that the value of each the following determinants is zero: |[a...
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- If a ,b ,c are different, then the value of |[0,x^2-a, x^3-b],[ x^2+a,...
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- Prove that the value of each the following determinants is zero: |...
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- If |b+c c+a a+b a+b b+c c+a c+a a+b b+c|=k|ab c c a b b c a| , then va...
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