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MHT CET 2021 Math Solved Paper
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© examsnet.com
Question : 1
Total: 100
With usual notations, in any
△
A
B
C
, if
a
cos
B
=
b
cos
A
, then the triangle is
an isosceles triangle
an equilateral triangle
a right angled triangle
a scalene triangle
Validate
Solution:
Using sine rule
a
sin
A
=
b
sin
B
=
K
We have,
cos
A
a
=
cos
B
b
⇒
cos
A
K
sin
A
=
cos
B
K
sin
B
⇒
K
sin
B
cos
A
=
K
sin
A
cos
B
⇒
cos
A
sin
B
−
cos
B
sin
A
=
0
⇒
sin
(
A
−
B
)
=
0
A
=
B
∴
Triangle in an isosceles triangle.
© examsnet.com
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