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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)^2y=(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. . For what values of lambda and mu the system of equations x+y+z=6, x+...

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  3. Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...

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  4. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

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  5. 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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  6. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

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  7. Solve the system of equations : z+ay+a^2x+a^3=0 z+by+b^2x+b^3=0 z+cy+c...

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  8. If x ,\ y , z are not all zero and if a x+b y+c z=0; b x+c y+a z=0; c ...

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

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  11. If D=|1 1 1 1 1+x1 1 1 1+y|"f o r"x!=0, y!=0 then D is (1) divisibl...

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

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  13. Let a, b, c be such that b(a""+""c)!=0 . If |a a+1a-1-bb+1b-1cc-1c...

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

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  15. The number of value of k for which the linear equations 4x+k y+2z=0k x...

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  16. If the trivial solution is the only solution of the system of equation...

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  17. The number of values of k, for which the system of equations (k""+"...

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  18. If a ,b ,c are sides of a scalene triangle, then value of |a b c b c a...

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  19. If the system of linear equations x1+2x2+3x3=6,\ x1+3x2+5x3=9,\ 2x2+5x...

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  20. Statement 1: The system of linear equations x+(sinalpha)y+(cosalpha)z=...

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