1
MHT CET 2021 20th September Morning Shift
+2
-0

With usual notations if the angles of a triangle are in the ratio 1 : 2 : 3, then their corresponding sides are in the ratio.

A
1 : 2 : 3
B
1 : $$\sqrt3$$ : 3
C
$$\sqrt2$$ : $$\sqrt3$$ : 3
D
1 : $$\sqrt3$$ : 2
2
MHT CET 2020 16th October Evening Shift
+2
-0

In a $$\triangle A B C$$ if $$2 \cos C=\sin B \cdot \operatorname{cosec} A$$, then

A
$$a=c$$
B
$$b=c$$
C
$$a=b=c$$
D
$$a=b$$
3
MHT CET 2020 16th October Morning Shift
+2
-0

In a triangle $$A B C$$ with usual notations, if $$\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}$$, then area of triangle $$A B C$$ with $$a=\sqrt{6}$$ is

A
$$\frac{2}{\sqrt{3}}$$ sq units
B
$$\frac{3 \sqrt{3}}{2}$$ sq units
C
$$\frac{5 \sqrt{3}}{2}$$ sq units
D
$$\frac{\sqrt{3}}{2}$$ sq units
4
MHT CET 2020 16th October Morning Shift
+2
-0

In a triangle $$A B C$$, if $$\frac{\sin A-\sin C}{\cos C-\cos A}=\cot B$$, then $$A, B, C$$, are in

A
Geometric progression
B
Arithmetic progression
C
Arithmetic-Geometric progression
D
Harmonic progression
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