1
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If two sides of a triangle are $\sqrt{3}-2$ and $\sqrt{3}+2$ units and their included angle is $60^{\circ}$, then the third side of the triangle is

A
15 units
B
$\sqrt{15}-2$ units
C
$\sqrt{15}+2$ units
D
$\sqrt{15}$ units
2
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
$20,48,52$
3
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
$\frac{\pi}{3}$
4
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
$19: 25: 20$
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