Straight LineHard
Question
A straight line through the originO meets the parallel lines 4x + 2 y = 9 and 2x + y + 6 = 0 at points P andQ respectively. Then , the Point O divides the segment PQ in the ratio
Options
A.1 : 2
B.3 : 4
C.2 : 1
D.4 : 3
Solution
Now, distance of origin from 4x + 2 y - 9 = 0 is

and distance of origin from 2x + y + 6 = 0

Hence, the required ration

and distance of origin from 2x + y + 6 = 0

Hence, the required ration

Create a free account to view solution
View Solution FreeMore Straight Line Questions
The area bounded by the curves y = | x | − 1 and y = − | x | + 1 is -...The number of integer values of m, for which the x-coordinate of the poinr of interseection of the lines 3x + 4 y = 9 an...ax − by − a2 = 0, where a, b are non-zero, is the equation to the straight line perpendicular to a line l an...Orthocenter of the triangle whose sides are given by 4x − 7y + 10 = 0, x + y − 5 = 0 & 7x + 4y − 15 = ...If the line y = mx + c passes through the points (2, 4) and (3, − 5), then -...