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Find those values of c for which the equ...

Find those values of c for which the equations: `2x+3y=3,(c+ 2)x + (c +4)y=(c+6),(c+2)^2x+(c+4)^2
y=(c+6)^2` are consistent.Also solve above equations for these values of c.

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ALLEN-DETERMINANTS-All Questions
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  2. Determine for that values of lambda and mu the following system of eq...

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  4. Let alpha1,alpha2 and beta1, beta2 be the roots of the equation ax^2+b...

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  6. If a^2+b^2+c^2=1 then show that value of the determinant |a^2+(b^2+c^2...

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  10. If a x1 2+b y1 2+c z1 2=a x1 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d\ a...

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  11. If ∣ x - 2 -3 3x 2x ∣ =3, find the negative of integer va...

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  12. If x,y and y are not all zero and if ax+by+cz=0,bx+cy+az=0 and cx...

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  13. Prove that the system of equations in xa +y+z=0 , x +by +z=0 ,...

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  14. 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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  15. The value of |alpha| for which the system of equation alphax+y+z=alpha...

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  16. If D=|(1, 1, 1), (1, 1+x, 1), (1, 1, 1+y)| for x!=0, y!=0 then D is (...

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  17. Let a, b, c be any real numbers. Suppose that there are real number...

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  18. Let a,b,c be such that b(a+c) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

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  19. Consider the system of linear equations; x-1\ +2x2+x3=3, 2x1+3x2+3=3, ...

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