Question

If in a $△ABC,a,b,c$ are in A.P. and $p_1,p_2,p_3$ are the altitudes from the vertices $A,B,C$ respectively, then

• A. $p_1,p_2,p_3$ are in A.P.
• B. $p_1,p_2,p_3$ are in H.P
• C. $p_1+p_2+p_3\le \frac{3R}{△}$
• D. $\frac{1}{p_1}+\frac{1}{p_2}+\frac{1}{p_3}\le \frac{3R}{△}$

Answer 1

Answer: (B), (D)

The correct options are
B $p_1,p_2,p_3$ are in H.P
D $\frac{1}{p_1}+\frac{1}{p_2}+\frac{1}{p_3}\le \frac{3R}{△}$