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UPSC CDS Math Lines and Angles Questions
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© examsnet.com
Question : 2
Total: 16
Let the bisector of the angle BA of a triangle ABC meet BC in X. Which one of the following is correct ?
[2019 CDS-II]
AB < BX
AB > BX
A X = C X
None o f the above
Validate
Solution:
The angle bisector AX divide the side BC in the ratio of side AB and AC
A
B
A
C
=
b
c
=
C
X
B
X
C
X
=
b
⋅
a
b
+
c
,
B
X
=
c
⋅
a
b
+
c
S
o
A
B
B
X
=
c
(
c
⋅
a
b
+
c
)
=
b
+
c
a
so we cannot define relation between AB and BX.
And
B
X
C
X
=
(
c
⋅
a
b
+
c
)
(
b
⋅
a
b
+
c
)
=
c
b
so we cannot define relation between BX and CX.
© examsnet.com
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