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{:(kx + 3y = k - 3),(12x + ky = k):}...

`{:(kx + 3y = k - 3),(12x + ky = k):}`

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The correct Answer is:
k is any real number other than 6 and -6.
` ( k)/(12) ne ( 3) /(k) rArr k ^(2) ne 36 rArr k ne 6 and k ne - 6 `.
So, for a unique solution, we may take any real value of k, other than 6 and -6.
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3D
  1. Find the value of k for which the following system of equations has...

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  2. Find the value of k for which the following system of equations has...

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  3. {:(kx + 3y = k - 3),(12x + ky = k):}

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  4. Show that the system of equations. " " 2 x - 3y = ...

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  5. Show that the system of equations " " 6x + 5y = 11, ...

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  6. For what value of k does the system of equations " " kx ...

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  7. For what value of k , will the system of equations x+2y=5,\ \ \ \ 3...

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  8. For what value of k does the system of equations " ...

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  9. For what value of k does the system of linear equations 2x+3y=7 ...

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  10. {:(2x + (k - 2)y = k),(6x + (2k - 1) y = 2k + 5):}

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  11. Find the value of k for which following system of equations have in...

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  12. Find the value of k for infinite solutions: 5x + 2y = 2k, 2 ...

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  13. ( k - 1 ) x - y = 5, (k + 1 ) x + ( 1 - k ) y = ( 3k + 1 )

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  14. {:((k - 3)x + 3y = k),(kx + ky = 12):}

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  15. (a - 1) x + 3y = 2, 6x + (1 - 2b) y =6.

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  16. {:((2a - 1)x + 3y - 5 = 0),(3x + (b - 1) y - 2 = 0):}

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  17. If 2x - 3y = 7 and (a+b)x- (a+b-3)y = 4a + b represent coincident lin...

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  18. Find the values of a and b for which the following system of linear eq...

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  19. 2x + 3y =7, (a + b ) x + ( 2a - b ) y = 21.

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  20. If the system of equations 2x + 3y = 7 and 2ax + (a + b) y = 28 has in...

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