Question 2: How many lines can be drawn through points A and B parallel to line OM? M 4o 03 O infinite 01 OO
Answers
Answered by
1
Step-by-step explanation:
Let line through Point(4,−5) with slope m
y+5=mx−4m
mx−y−(4m+5)=0
Distance of above equation from point (−2,3) is 12
∣
∣
∣
∣
∣
m
2
+1
−2m−3−4m−5
∣
∣
∣
∣
∣
=12
∣
∣
∣
∣
∣
m
2
+1
−6m−8
∣
∣
∣
∣
∣
=12
∣
∣
∣
∣
∣
m
2
+1
−3m−4
∣
∣
∣
∣
∣
=6
m
2
+1
3m+4
=6
On squaring both sides
m
2
+1
9m
2
+16+24m
=36
9m
2
+16+24m=36m
2
+36
27m
2
−24m+20=0
m=
54
24±
576−2160
m=
54
24±
−1584
m has imaginary roots
Hence No such line is possible
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