1
MHT CET 2021 22th September Morning Shift
+2
-0

In $$\triangle A B C$$, with usual notations, $$2 a b \sin \frac{1}{2}(A+B-C)=$$

A
$$a^2-b^2-c^2$$
B
$$a^2+b^2-c^2$$
C
$$a^2+b^2+c^2$$
D
$$a^2-b^2+c^2$$
2
MHT CET 2021 22th September Morning Shift
+2
-0

If in $$\Delta$$ABC, with usual notations, the angles are in A.P., then $$\mathrm{\frac{a}{c}}$$ sin 2 C + $$\mathrm{\frac{c}{a}}$$ sin 2 A =

A
$$\frac{1}{2}$$
B
$$\sqrt3$$
C
2$$\sqrt3$$
D
$$\frac{\sqrt3}{2}$$
3
MHT CET 2021 21th September Evening Shift
+2
-0

With usual notations, perimeter of a triangle $$A B C$$ is 6 times the arithmetic mean of sine of its angles. If $$\mathrm{a}=1$$, then measure of angle $$\mathrm{A}=$$

A
$$\frac{\pi^{\mathrm{c}}}{3}$$
B
$$\frac{\pi^{\mathrm{c}}}{2}$$
C
$$\frac{\pi^{\mathrm{c}}}{4}$$
D
$$\frac{\pi^{\mathrm{c}}}{6}$$
4
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
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