if p, q , r are 3 distinct lines such that p//q and r//q , then which of the following is true?
1}p and q are perpendicular to each other
2} r and q are perpendicular
3} p and r are parallel
4] p and r are not parallel
Answers
Answered by
6
Answer:
2] r and q are perpendicular
Step-by-step explanation:
I think bro
Answered by
0
Answer:
Step-by-step explanation:
Given
L
1
:(q−r)x+(r−p)y+(p−q)=0
L
2
:(q
3
−r
3
)x+(r
3
−p
3
)y+(p
3
−q
3
)=0
If these two lines represent the same line, then the coefficients should be in the same ratios.
q
3
−r
3
q−r
=
r
3
−p
3
r−p
=
p
3
−q
3
p−q
q
2
+qr+r
2
1
=
r
2
+rp+p
2
1
=
p
2
+pq+q
2
1
⇒q
2
+r
2
+qr=r
2
+p
2
+pr
⇒q
2
−p
2
=r(p−q)
⇒−(p+q)=r⇒p+q+r=0
p+q+r=0
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