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Byju's Answer
Standard X
Mathematics
Distance Formula
If the distan...
Question
If the distance between the points A(–3, –14) and B(a, –5) is 9 units, then a = __________.
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Solution
The distance between
x
1
,
y
1
and
x
2
,
y
2
is
x
2
-
x
1
2
+
y
2
-
y
1
2
.
Therefore, the distance between the points A(–3, –14) and B(a, –5)
=
a
-
-
3
2
+
-
5
-
-
14
2
⇒
9
=
a
+
3
2
+
-
5
+
14
2
Squaring
both
sides
,
we
get
⇒
9
2
=
a
+
3
2
+
9
2
2
⇒
81
=
a
+
3
2
+
81
⇒
a
+
3
2
=
0
⇒
a
=
-
3
Hence, a =
–3
.
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Similar questions
Q.
Question 4
Find the value of a, if the distance between the points A(-3,-14) and B(a, -5) is 9 units.
Q.
If the distance between points P (x, 2) and Q (3, 6) is 10 units, then x =
Q.
If x is a positive integer such that the distance between points P (x, 2) and Q (3, −6) is 10 units, then x =
(a) 3
(b) −3
(c) 9
(d) −9