MHT CET 2026 18th April Morning Shift | Properties of Triangles Question 9 | Mathematics

In $\triangle ABC$, with usual notation, if $a = 13, b = 14, c = 15$, then the sum of the values of $\sin\left(\dfrac{A}{2}\right)$ and $\sin A$ is....

$\dfrac{14}{5\sqrt{5}}$

$\dfrac{\sqrt{5}+4}{5}$

$\dfrac{5+\sqrt{5}}{5}$

$\dfrac{2}{\sqrt{5}}+\dfrac{1}{2}$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

In $\triangle ABC$, with usual notation, if cot A, cot B, cot C are in arithmetic progression, then

sin A, sin B, sin C are in arithmetic progression.

$a^2, b^2, c^2$ are in arithmetic progression.

cos A, cos B, cos C are in arithmetic progression.

a, b, c are in arithmetic progression.

MHT CET 2026 17th April Morning Shift

MCQ (Single Correct Answer)

-0

With usual notations, in $\triangle ABC$, if $\cos C = \dfrac{\sin A}{2\sin B}$, then which of the following is true ?

$a = c$

$a = b$

$b = c$

$a^2 = b^2 + c^2$

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