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Standard XII
Mathematics
Question
If A(x,0), B(-4,6), and C(14, -2) form an isosceles triangle with AB=AC, then x=
37/9
31/9
-3
-4
A
37/9
B
31/9
C
-3
D
-4
Open in App
Solution
Verified by Toppr
AB = AC or
A
B
2
=
A
C
2
or
(
x
+
4
)
2
+
(
0
−
6
)
2
=
(
x
−
14
)
2
+
(
0
+
2
)
2
or
x
2
+
8
x
+
16
+
36
=
x
2
−
28
x
+
196
+
4
or 36x = 148 or x =
148
36
=
37
9
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