determine 'y',if slope of the line segment joining the point a(2,3) and b(4,y) is 1
Answers
Answer:
Step-by-step explanation:
L
1
:y+2x−3=0
L
2
:y+2x−5=0
L
1
& L
2
are parallel lines
distance between parallel lines
=
∣
∣
∣
∣
∣
∣
2
2
+1
2
−3−(−5)
∣
∣
∣
∣
∣
∣
=
5
2
In △APB
⇒AP
2
=BP
2
+AB
2
AP=2 (given)
⇒2
2
=(
5
2
)
2
+(AB)
2
⇒AB
2
=4−
5
4
=
5
16
⇒AB=
5
4
⇒tanα=
5
4
5
2
=
2
1
Slope of line: L
1
y=−2x+3
m=−2
Let slope of line PA=m
tanα=
1+m
1
m
2
m
1
−m
2
2
1
=
1−2m
m−(−2)
2m+4=1−2m
4m=−3
m=−
4
3
Slope of line PA=−
4
3
Equation of line which passes through (2,3) and has slope=−
4
3
y−y
1
=m(x−x
1
)
y−3=−
4
3
(x−2)
4y−12=−3x+6
3x+4y=18
Answer:
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Step-by-step explanation:
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