Question
What will be the value of k, if the lines given by 3x + ky - 4 and 5x + (9 + k)y + 41 represent two lines intersecting at a point?
- k ≠
- k ≠
- k =
- k ≠
Hint:
In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the intersecting lines share a common point.
Here we have given two equations: 3x + ky - 4 and 5x + (9 + k)y + 41, we have to find the value of k if these lines are intersecting lines.
The correct answer is: k ≠
The intersecting lines (two or more) never cross over at more than one location.
Any angle can be used to intersect the lines in any direction. Always greater than 0° and less than 180°, this angle is generated.
Lines are intersecting at a point, so
Now:
Cross multiplying it, we get:
So k is not equal to 27/2.
So here we were asked to find the correct expression which is related to k, so we used the concept of linear equations. The value of k was not equal to 27/2 after applying the equality of intersecting lines.
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