L1 passes through points A(1,2) and B(3,-4)
STEP 1
Find the gradient of L1
Gradient=dy/dx;
(-4-2)/(3-1)=-2
Gradient of L1 us -2
STEP 2
L2 is passing through the midpoint of AB;
Find the magnitude of AB by adding the contents of y in both points and contents of x in both points,then divide by 2 to get the midpoint
A+B=(1)+(3)
2 -4
A+B=(4)
-2
The midpoint =(4,-2)
STEP 3
Find the gradient of L2 perpendicular to L1
Gradient1xGradient2=-1(known)
Gradient1=-2
Gradient2=m;
-2m=-1
Divide by 2
m=1/2
STEP 4
Find the equation of L2 using the midpoint (2,-1) and gradient 1/2
{y-(-1)}/(x-2)=1/2
y+1/x-2=1/2
Cross multiply;
2y+2=x-2
Leaving your answer in form of ax+by+c=0;
x-2y=0...ans
muchira101 answered the question on February 14, 2019 at 11:01
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