1
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The ratios of sides in a triangle ABC are $5: 12: 13$ and its area is 270 . Then sides of the triangle are
A
$5,12,13$
B
$10,24,26$
C
$15,36,39$
D
$20,48,52$
2
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The smallest angle of the triangle whose sides are $6+\sqrt{12}, \sqrt{48}, \sqrt{24}$ is
A
$\frac{\pi}{2}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{3}$
3
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In a triangle $A B C$, with usual notations, if $\frac{b+c}{11}=\frac{c+a}{12}=\frac{a+b}{13}$ Then $\cos \mathrm{A}: \cos \mathrm{B}: \cos \mathrm{C}$ is
A
$7: 19: 25$
B
$19: 7: 25$
C
$12: 14: 20$
D
$19: 25: 20$
4
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle $\mathrm{ABC}, l(\mathrm{AB})=\sqrt{23}$ units, $l(\mathrm{BC})=3$ units, $l(\mathrm{CA})=4$ units, then $\frac{\cot A+\cot C}{\cot B}$ is

A
1
B
2
C
4
D
8
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