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Byju's Answer
Standard XII
Chemistry
Limitations of First Law
if r 1 = r...
Question
i
f
r
1
=
r
2
+
r
3
+
r
,
then the
Δ
is
A
Equilateral
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B
Isosceles
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C
Right angled
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D
None of these
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Solution
The correct option is
D
Right angled
r
1
=
r
2
+
r
3
+
r
⇒
r
1
−
r
=
r
2
+
r
3
Δ
r
−
a
−
Δ
r
=
Δ
r
−
b
+
Δ
r
−
c
r
−
r
+
a
r
(
r
−
a
)
=
r
−
b
+
r
−
c
(
r
−
b
)
(
r
−
c
)
a
r
(
r
−
a
)
=
a
+
b
+
c
−
b
−
c
(
r
−
b
)
(
r
−
c
)
a
r
(
r
−
a
)
=
a
(
r
−
b
)
(
r
−
c
)
1
r
(
r
−
a
)
=
1
(
r
−
b
)
(
r
−
c
)
(
r
−
b
)
(
r
−
c
)
=
r
(
r
−
a
)
r
2
−
b
r
−
c
r
+
b
c
=
r
2
−
a
r
(
a
−
b
−
c
)
r
+
b
c
=
0
(
b
+
c
−
a
)
r
=
b
c
(
b
+
c
−
a
)
(
a
+
b
+
c
)
2
=
b
c
(
b
+
c
)
2
−
a
2
=
2
b
c
(
b
+
c
)
2
−
2
b
c
=
a
2
b
2
+
c
2
=
a
2
∴
The triangle is a right triangle.
Suggest Corrections
0
Similar questions
Q.
Assertion :In a
Δ
ABC,
r
1
+
r
2
+
r
3
−
r
=
4
R
Reason:
r
1
r
2
+
r
2
r
3
+
r
3
r
1
=
Δ
2
Q.
Assertion :In a
△
A
B
C
, if
a
<
b
<
c
and
r
is inradius and
r
1
,
r
2
,
r
3
are the axradii opposite to angle
A
,
B
,
C
respectively, then
r
<
r
1
<
r
2
<
r
3
Reason:
△
A
B
C
,
r
1
r
2
+
r
2
r
3
+
r
3
r
1
=
r
1
r
2
r
3
r
Q.
For
Δ
A
B
C
,
Δ
,
R
,
r
,
r
1
,
r
2
,
r
3
,
s
have the usual meanings, then if the cubic equation with roots
r
1
,
r
2
,
r
3
is
x
3
+
l
x
2
+
m
x
+
n
=
0
, then
l
=
Q.
If
r
1
,
r
2
,
r
3
,
s
,
△
,
a
,
b
,
c
are the standard notations then which of the following is correct?
Q.
If in a triangle
r
r
1
=
r
2
r
3
,
where
r
,
r
1
,
r
2
,
r
3
have their usual meaning, then
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