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Point of Intersection Formula - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Point of intersection of two lines is considered one of the most asked concept.
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40 Questions around this concept.
Solve by difficulty
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:
Concepts Covered - 1
Point of intersection of two lines
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
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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.
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Three lines
, i = 1, 2, 3 are concurrent if
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