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Point of intersection of two lines is considered one of the most asked concept.
40 Questions around this concept.
Let a, b, c and d be non-zero numbers. If the point of intersection of the lines 4ax+2ay+c=0 and 5bx+2by+d=0 lies in the fourth quadrant and is equidistant from the two axes then :
The equation of a straight line passing through the point of intersection of and
and perpendicular to one of them is:
The values of for which lines
are concurrent:
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The number of integer values of , for which the
-coordinate of the point of intersection of the lines
and
is also an integer, is:
Point of intersection of two lines
If the equations of two non-parallel lines are
If P (x1, y1) is a point of intersection of L1 and L2 , then solving these two equations of the line by cross multiplication
We get,
Concurrent Lines
If three straight lines meet in a point then three given lines are called concurrent.
To check if three lines are concurrent or not
First find the point of intersection of any two straight lines by solving them simultaneously. If this point satisfies the third equation then three lines are concurrent.
Three lines , i = 1, 2, 3 are concurrent if
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