MHT-CET

Properties of Triangles question bank (Mathematics)

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Q1.

In a triangle $\mathrm{ABC}$ with usual notations, if $\tan \mathrm{A}, \tan \mathrm{B}, \tan \mathrm{C}$ are in H.P., then $a^{2}, b^{2}, c^{2}$ are in

(A)

$\boldsymbol{A}_{\mathbf{n}} \mathbf{P}$.

(B)

Not in A. P.

(C)

$\mathrm{H}. \mathrm{P}$

(D)

$\boldsymbol{G}.\mathrm{P}$

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Q2.

With usual notations, in $\triangle \mathrm{ABC}$, if $\mathrm{a}=2, \mathrm{~b}=3, \mathrm{c}=5$ and $\frac{\cos A}{a}+\frac{\cos B}{b}+\frac{\cos C}{c}=\frac{k+7}{30}$, then $\mathrm{k}=$

(A)

(B)

(C)

(D)

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