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The value of k for which the system of ...

The value of `k` for which the system of equations `2x+3y=5,\ \ \ \ 4x+k y=10` has infinite number of solutions, is

A

1

B

3

C

6

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
For an infinite number of solutions, we have
` (2)/(4) = ( 3)/(k) = (-5)/(10) rArr k = 6`.
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3F
  1. For what value of k does the system of linear equations 2x+3y=7 ...

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  2. For what value of k , the following pair of linear equations has in...

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  3. For what value of k will the following pair of linear equations h...

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  4. Write the number of solutions of the following pair of linear equat...

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  5. Write the value of k for which the system of equations 3 x + ky ...

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  6. The difference between two numbers is 5 and the difference between ...

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  7. The cost of 5 pens and 8 pencils is ₹ 120, while the cost of 8 p...

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  8. The sum of two numbers is 80. If the larger number exceeds four times ...

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  9. A number consists of two digits whose sum is 8 if 18 is added to the n...

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  10. A man purchased 47 stamps of 20 p and 25 p for ₹ 10. Find th...

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  11. A man has some hens and cows. If the number of heads be 48 and nu...

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  12. Solve the following system of equations: 2/x+3/y=9/(x y),\ \ \ 4/x+...

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  13. If (x)/(4) + ( y)/(3) = (5)/(12) and (x)/(2) + y = 1 then ...

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  14. If 12 x + 17 y = 53 and 17 x + 12 y = 63 then find t...

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  15. Find the value of k for which the system of equations 3x + ...

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  16. Find the values(s) of k for which the system of equations k x-y=2 6x-...

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  17. The value of k for which the system of equations 2x+3y=5,\ \ \ \ 4x+...

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  18. Show that the system 2 x + 3y - 1 = 0 , 4x + 6y - 4 = 0 has no ...

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  19. Find k for which the system x + 2y = 3 and 5x + ky + 7 = 0 is i...

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  20. Solve : (3)/(x + y ) + ( 2)/(x - y ) = 2 and (9)/(x + y ) - ...

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