Question

A line segment $A B$ is divided internally and externally in the same ratio $(>1)$ at $P$ and $Q$ respectively and $M$ is mid point of $A B$.
Statement-1 : MP, MB, MQ are in G.P.
Statement-2 $AP , AB$ and $AQ$ are in $HP$.

• A. STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation for STATEMENT-1
• B. STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation for STATEMENT-1Pro
• C. STATEMENT-1 is true, STATEMENT-2 is false
• D. STATEMENT-1 is false, STATEMENT-2 is true

Answer 1

Answer: (A)

$AP , AB , AQ$ are in H.P.
$A P-\frac{A B}{2}, A B-\frac{A B}{2}, A Q-\frac{A B}{2}$ are in G.P.
$M P, M B, M Q$ are in G.P.