Q. 115.0( 3 Votes )

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Answer :

Given: perpendicular distance is 4 units and line


To find : points on the x-axis


Formula used:


We know that the length of the perpendicular from (m,n) to the line ax + by + c = 0 is given by,


D


The equation of the line is 4x + 3y - 12=0


Any point on the x-axis is given by (x,0)


Here m= x and n= 0 , a = 4 , b = 3 , c = -12 and D=4 units


D


D


|4x-12| = 4 × 5 = 20


4x - 12 = 20 or 4x - 12 = -20


4x = 20 + 12 or 4x = -20 + 12


4x = 32 or 4x = -8


x = 32/4 = 8 or x = (-8)/4 = -2


(8,0) and (2,0)are the points on the x-axis whose perpendicular distance from the line is 4 units


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