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For what value of k will the following s...

For what value of k will the following system of linear equations have infinite number of solution :- 2x + 3y = 2 , (k + 2)x + (2k + 1)y = 2(k - 1)

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The correct Answer is:
k = 4
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For what value of k , will the following system of equations have infinitely many solutions? 2x+3y=4,\ \ \ \ (k+2)x+6y=3k+2

For what values of k will the following pair of linear equations have infinitely many solutions? k x+3y - (k - 3)=0 and 12 x+k y - k=0

(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2x + 3y = 7 (a - b)x + (a + b)y = 3a + b - 2 (ii) For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k - 1)x + (k - 1)y = 2k + 1

For what value of k will the following system of linear equations has no solution? 3x+y=1,\ \ \ \ (2k-1)x+(k-1)y=2k+1

for what values of k will the following pairs of linear equations have infinitely many solutions kx+3y-(k-3)=0 and 12x+ky-k=0

(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2x+3y=7 (a - b)x+(a+b)y=3a+b -2 (ii) For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k – 1) x + (k – 1) y = 2k + 1

Find the value of k for which following system of equations have infinitely many solution: 2x+3y=k ,\ \ \ \ (k-1)x+(k+2)y=3k

Find the value of k for which following system of equations have infinitely many solution: 2x+3y=2,\ \ \ \ (k+2)x+(2k+1)y=2(k-1)

Find the value of k for which following system of equations have infinitely many solution: 2x-3y=7,\ \ \ \ (k+2)x-(2k+1)y=3(2k-1)

Find the value of k for which the following system of linear equations has infinite solutions: x+(k+1)y=5,\ \ \ \ (k+1)x+9y=8k-1

NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3d
  1. {:(x - ky = 2),(3x + 2y =-5):} FIND VALUE OF K FOR WHICH SYSTEM IS UNI...

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  2. for what values of k the system has infinite solution{:(8x + 5y = 9),(...

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  3. For what value of k will the following system of linear equations have...

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  4. {:(2x + (k - 2)y = k),(6x + (2k - 1) y = 2k + 5):} find the value of ...

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  5. {:((k - 3)x + 3y = k),(kx + ky = 12):} find the value of k for which ...

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  6. {:(kx + 3y = 3),(12x + ky = 6):} find the value of k for which system...

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  7. {:(kx + 3y = k - 3),(12x + ky = k):} find the value of k for which sys...

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  8. {:(8x + 5y = 9),(kx + 10y = 8):}

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  9. For what value of k, the system of equations 4x + 6y = 11 and 2x + ky ...

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  10. For what value of k, the system of equations 3x + 4y = 6 and 6x + 8y =...

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  11. Find k, such that the system 3x + 5y = 0 and kx + 10y = 0 has a non-ze...

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  12. Obtain the condition for the following system of linear equations to h...

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  13. {:((2a - 1)x + 3y - 5 = 0),(3x + (b - 1) y - 2 = 0):} Find the value o...

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  14. Find the values of p and q for which the following system of linear...

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  15. {:(2x + 3y = 7),((a - 1)x +(a +2)y = 3a):} Find the value of a for whi...

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  16. {:(2x - 3y = k),(4x + 5y = 3):} Find the value of k for which given li...

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  17. {:(2x - 4y = 3),(5x - ky = 7.5):}

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  18. for what values of k the system has consistent solution {:(2x - 4y = ...

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  19. For what value of k, the system of equations 5x - ky = 3 and 10x - 3y ...

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  20. For what value of k, the system of equations 3x - 2y = 5 and 6x - ky =...

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