1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Distance Formula
If P,Q,R ar...
Question
If
P
,
Q
,
R
are
(
6
,
−
1
)
,
(
1
,
3
)
,
(
x
,
8
)
respectively, then find the value of
x
so that
P
Q
=
Q
R
Open in App
Solution
Distance between two points
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Given:
P
Q
=
Q
R
⇒
√
(
1
−
6
)
2
+
(
3
+
1
)
2
=
√
(
x
−
1
)
2
+
(
8
−
3
)
2
⇒
√
(
−
5
)
2
+
(
4
)
2
=
√
(
x
−
1
)
2
+
(
5
)
2
⇒
√
25
+
16
=
√
x
2
−
2
x
+
1
+
25
⇒
√
41
=
√
x
2
−
2
x
+
26
squaring both sides, we get
⇒
x
2
−
2
x
+
26
−
41
=
0
⇒
x
2
−
2
x
−
15
=
0
⇒
x
2
+
3
x
−
5
x
−
15
=
0
⇒
x
(
x
+
3
)
−
5
(
x
+
3
)
=
0
⇒
(
x
+
3
)
(
x
−
5
)
=
0
∴
x
=
−
3
,
5
Suggest Corrections
1
Similar questions
Q.
Find the value of
x
such that
P
Q
=
Q
R
where the coordinates of
P
,
Q
and
R
are
(
6
,
−
1
)
,
(
1
,
3
)
and
(
x
,
8
)
respectively.
Q.
If
x
p
q
+
x
q
r
+
x
p
r
=
p
+
q
+
r
, then find the value of
x
.
Q.
If
p
,
q
,
r
are real numbers, then
f
(
x
)
=
∣
∣ ∣ ∣
∣
x
+
p
2
p
q
p
r
p
q
x
+
q
2
q
r
p
r
q
r
x
+
r
2
∣
∣ ∣ ∣
∣
Q.
P
Q
and
Q
R
are tangents to the circle at P and R respectively. Find the value of x
Q.
If
Q
(
0
,
1
)
is equidistant from
P
(
5
,
−
3
)
and
R
(
x
,
6
)
, find the values of x. Also find the distances QR and PQ.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
MATHEMATICS
Watch in App
Explore more
Distance Formula
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app