1
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle ABC with usual notations if, $\cot \frac{A}{2}=\frac{b+c}{a}$, then the triangle $A B C$ is

A
an isosceles triangle.
B
an equilateral triangle.
C
a right angled triangle.
D
an obtuse angled triangle.
2
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle ABC with usual notations, if $3 \mathrm{a}=\mathrm{b}+\mathrm{c}$, then $\cot \frac{\mathrm{B}}{2} \cdot \cot \frac{\mathrm{C}}{2}=$

A
1
B
$\sqrt{2}$
C
2
D
3
3
MHT CET 2025 22nd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

In $\triangle A B C$, with usual notations, if $\mathrm{a}^4+\mathrm{b}^4+\mathrm{c}^4-2 \mathrm{a}^2 \mathrm{c}^2-2 \mathrm{c}^2 \mathrm{~b}^2=0$, then $\angle \mathrm{C}=\ldots$

A
$135^{\circ}$
B
$120^{\circ}$
C
$150^{\circ}$
D
$125^{\circ}$
4
MHT CET 2025 22nd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle ABC with usual notations if, $\tan \left(\frac{\mathrm{B}-\mathrm{C}}{2}\right)=x \cot \frac{\mathrm{~A}}{2}$, then $x=$

A
$\frac{c-a}{c+a}$
B
$\frac{a-b}{a+b}$
C
$\frac{\mathrm{b}-\mathrm{c}}{\mathrm{b}+\mathrm{c}}$
D
$\frac{a+b}{a-b}$
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