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- If a=costheta+isintheta,b=cos2theta-isin2theta,c=cos3theta+i sin3theta...
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- Prove that |a1alpha1+b1beta1a1alpha2+b2beta2a1alpha3+b1beta3a2alpha1+b...
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- If alpha,beta,gamma are the roots of p x^3+q x^2+r=0, then the value...
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- Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(...
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- If |1xx^2xx^2 1x^2 1x|=, then find the value of |x^3-1 0x-x^4 0x-x^...
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- If |x^n x^(n+2)x^(n+3)y^n y^(n+2)y^(n+3)z^n z^(n+2)z^(n+3)|=(x-y)(y-z)...
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- Solve the system of the equations: a x+b y+c z=d a^2x+b^2y+c^2z=d^2 a^...
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- if |{:(a,,b-c,,c+b),(a+c,,b ,,c-a),(a-b,,a+b,,c):}|=0 then the line ...
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- If 2a x-2y+3z=0,x+a y+2z=0,a n d2+a z=0 have a nontrivial solution,...
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- If |.| denotes the greatest integer less than or equal to the real num...
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- if (x) =a +bx+cx^(2)" and " alpha, beta gamma are the roots of the ...
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- If x ,ya n dz are not all zero and connected by the equations a1x+b...
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- Find lambda for which the system of equations x+y-2z=0,2x-3y+z=0,x-...
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- If p ,q ,r are in A.P. then value of determinant |a^2+2^(n+1)+2p b^2+2...
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- For what values of k , the following system of equations possesses ...
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- Let a ,b , c in R such that no two of them are equal and satisfy |(2a...
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- Solve by Cramers rule x+y+z=6 x-y+z=2 3x+2y-4z=-5
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- The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c...
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- Find the value of aa n db if the system of equation a^2x-b y=a^2-ba...
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- If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...
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