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The number of value of k for which the l...

The number of value of `k` for which the linear equations `4x+k y+2z=0k x=4y+z=0 2x+2y+z=0` posses a non-zero solution is- a.`1` b. `\ ` zero c.`\ 3` d. `2`

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ALLEN-DETERMINANTS-All Questions
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  2. Let a, b, c be any real numbers. Suppose that there are real number...

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

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

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

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  7. The number of values of k for which the system of equations (k+1)x+8y=...

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  8. If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,...

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

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  10. Assertion : The system of linear equations x+(sinalpha)y+(cosalpha)z=0...

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  11. Consider the system of equations x+a y=0,\ y+a z=0.\ Then the set of ...

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  12. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

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  13. The set of all values of lamda for which the system of linear equation...

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  14. The system of linear equations x+lambday -z=0 lambdax -y-z=0 ...

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  15. The number of distinct real roots of the equation |{:(cosx, sinx, sinx...

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  16. Test the consistency and solve them when consistent the following s...

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  17. Let a ,b ,c be real numbers with a^2+b^2+c^2=1. Show that the eq...

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  18. The number of values of k for which the system of the equations (k+1)x...

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  19. Consider the system of equations x-2y+3z=1;-x+y-2z=; x-3y+4z=1. State...

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  20. Solve for theta for the equation 4cot2θ=cot ^2θ−tan ^2θ .

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