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Standard X
Mathematics
Distance between Two Points on the Same Coordinate Axes
Question
Find the values of y for which the distance between the points P(2, -3) and Q(10, y) is 10 units.
-8 , 2
8, 2
-9, 5
-9, 3
A
8, 2
B
-9, 3
C
-9, 5
D
-8 , 2
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Solution
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P
Q
=
10
⇒
√
(
10
−
2
)
2
+
(
y
+
3
)
2
=
10
√
64
+
y
2
+
9
+
6
y
=
10
Squaring both sides,
y
2
+
6
y
−
27
=
0
⇒
y
2
+
9
y
−
3
y
−
37
=
0
⇒
y
(
y
+
9
)
−
3
(
y
+
9
)
=
0
⇒
(
y
+
9
)
(
y
−
3
)
=
0
∴
y
=
−
9
,
3
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