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Find the point of intersection of the li...

Find the point of intersection of the lines `4x + 3y = 1 ` and `3x - y + 9 = 0`. If this point lies on the line `(2k - 1) x - 2y = 4`, find the value of k.
The above question can also be stated as : If the lines `4x + 3y = 1, 3x – y + 9 = 0 ` and `(2k - 1) x - 2y = 4` are concurrent (pass through the same point), find the value of k.

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The correct Answer is:
`(-2, 3) and k = -2`
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ICSE-EQUATION OF A LINE-EXERCISE 14(A)
  1. Find, which of the following points lie on the line x - 2y + 5 = 0 : ...

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  2. State, true or false :   the line x/2 + y/3 = 0 passes through the po...

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  3. State, true or false :   the line x/2 + y/3 = 0 passes through the po...

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  4. State, true or false :    the point (8, 7) lies on the line y - 7 = 0

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  5. State, true or false :   the point (-3,0) lies on the line x + 3 = 0

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  6. State, true or false : if the point (2, a) lies on the line 2x - y =...

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  7. The line given by the equation 2x - y/3 = 7 passes through the point (...

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  8. For what value of k will the point (3,- k) lie on the line 9x + 4y = 3...

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  9. The line (3x)/5 - (2y)/3 + 1 = 0contains the point (m, 2m-1), calculat...

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  10. Does the line 3x - 5y = 6 bisect the join of (5,-2) and (-1, 2) ?

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  11. The line y = 3x - 2 bisects the join of (a, 3) and (2, -5), find the v...

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  12. The line x - 6y + 11 = 0 bisects the join of (8, -1) and (0, k). Find...

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  13. The point (-3, 2) lies on the line ax + 3y + 6 = 0, calculate the valu...

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  14. The line y = mx + 8 contains the point (-4, 4), calculate the value of...

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  15. The point P divides the join of (2, 1) and (-3, 6) in the ratio 2 : 3....

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  16. The line segment joining the points (5, -4) and (2, 2) is divided by t...

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  17. Find the point of intersection of the lines 4x + 3y = 1 and 3x - y + ...

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  18. Show that the lines 2x + 5y = 1, x - 3y = 6 and x + 5y + 2 = 0 are con...

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