1
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In a right-angled $\triangle ABC$, the measures of the angles are in an Arithmetic Progression (A.P.) If its smallest side is $4$ units, then the area of $\triangle ABC$ is.....
A
$16$ sq. units
B
$8\sqrt{3}$ sq. units
C
$16\sqrt{3}$ sq. units
D
$32$ sq. units
2
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

With usual notation, in a triangle ABC $\frac{b+c}{11}=\frac{c+a}{12}=\frac{a+b}{13}$, then the value of $\cos B$ is equal to

A

$\frac{17}{35}$

B

$\frac{17}{70}$

C

$\frac{19}{35}$

D

$\frac{19}{70}$

3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle $A B C$, with usual notations, the sides $\mathrm{a}, \mathrm{b}, \mathrm{c}$ are such that they are roots of the equation $x^3-11 x^2+38 x-40=0$ then $\frac{\cos \mathrm{A}}{\mathrm{a}}+\frac{\cos \mathrm{B}}{\mathrm{b}}+\frac{\cos \mathrm{C}}{\mathrm{c}}=$

A
$\frac{9}{16}$
B
$\frac{3}{4}$
C
1
D
$\frac{5}{16}$
4
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle $A B C$ with usual notations if $\angle A=30^{\circ}$, then the value of $\left(1+\frac{a}{c}+\frac{b}{c}\right)\left(1+\frac{c}{b}-\frac{a}{b}\right)=$

A

$\sqrt{3}-2$

B

$2+\sqrt{5}$

C

$\sqrt{3}+2$

D

$2-\sqrt{5}$

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