First slide

Equation of line in Straight lines

Question

A line is passing through the points $A (2, 3), B (2, 7)$ . The point where the line perpendicular to the line $A B$ and passing through $(1, 4)$ meets the line $A B$ is

Moderate

A

$(- 5, 4)$
B

$(5, 0)$
C

$(2, 4)$
D

$(0, - 4)$

Solution

$To get the required point, find the foot of the perpendicular from the point (1, 4) on the line AB$
$In the given points A (2, 3), B (2, 7), x -coordinates are equal. So that the equation of the$ $line A B is x = 2$
$The foot of the perpendicular of a point (1, 4) on the line x = 2 is (2, 4)$

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