Q. 54.7( 3 Votes )
Find the equation of a line which is perpendicular to the line 
and which cuts off an intercept of 4 units with the negative direction of y-axis.
Answer :
Given: equation is perpendicular to 
equation and cuts off an intercept of 4 units with the negative direction of y-axis
To find:
The equation of a line which is perpendicular to the line 
and which cuts off an intercept of 4 units with the negative direction of y-axis.
Explanation:
The line perpendicular to 
is 
It is Given that the line 
cuts off an intercept of 4 units with the negative direction of the y-axis.
This means that the line passes through (0,-4).
∴ 
⇒ 
Substituting the value of λ, we get 
, which is the equation of the required line.
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