1
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If in $$\triangle \mathrm{ABC}$$, with usual notations, $$a \cdot \cos ^2 \frac{C}{2}+c \cos ^2 \frac{A}{2}=\frac{3 b}{2}$$, then

A
a, b, c are in G.P.
B
a, b, c are in H.P.
C
a, b, c are in A.P.
D
a, b, c are in Arithmetico Geometric Progression
2
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle $$\mathrm{ABC}$$, with usual notations, if $$\mathrm{m} \angle \mathrm{A}=60^{\circ}, \mathrm{b}=8, \mathrm{a}=6$$ and $$\mathrm{B}=\sin ^{-1} x$$, then $$x$$ has the value

A
$$\frac{\sqrt{3}}{2}$$
B
$$\frac{2}{\sqrt{3}}$$
C
$$2 \sqrt{3}$$
D
$$\frac{1}{2 \sqrt{3}}$$
3
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle $$\mathrm{ABC}$$, with usual notations, if $$\mathrm{c}=4$$, then value of $$(a-b)^2 \cos ^2 \frac{C}{2}+(a+b)^2 \sin ^2 \frac{C}{2}$$ is

A
4
B
16
C
9
D
25
4
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If one side of a triangle is double the other and the angles opposite to these sides differ by $$60^{\circ}$$, then the triangle is

A
obtuse angled
B
right angled
C
acute angled
D
isosceles
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