1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

In $$\triangle \mathrm{ABC}$$, with usual notations, $$\mathrm{m} \angle \mathrm{C}=\frac{\pi}{2}$$, if $$\tan \left(\frac{A}{2}\right)$$ and $$\tan \left(\frac{B}{2}\right)$$ are the roots of the equation $$a_1 x^2+b_1 x+c_1=0\left(a_1 \neq 0\right)$$, then

A
$$a_1+b_1=c_1$$
B
$$b_1+c_1=a_1$$
C
$$a_1+c_1=b_1$$
D
$$b_1=c_1$$
2
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Two sides of a triangle are $$\sqrt{3}+1$$ and $$\sqrt{3}-1$$ and the included angle is $$60^{\circ}$$, then the difference of the remaining angles is

A
$$30^{\circ}$$
B
$$45^{\circ}$$
C
$$60^{\circ}$$
D
$$90^{\circ}$$
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

In $$\Delta ABC$$, with usual notations $$\mathrm{\frac{b\sin B-c\sin C}{\sin(B-C)}}=$$

A
b
B
C
C
a
D
a + b + c
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

With usual notations, in any $$\triangle A B C$$, if $$a\cos B=b \cos A$$, then the triangle is

A
an isosceles triangle
B
an equilateral triangle
C
a right angled triangle
D
a scalene triangle
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