Question

In problem no. 7, if the point 'P' moves in such a way that d (P, OA) > maxi {d(P, OB), d(P, AB)}, then area of the region representing all possible positions of the point 'P' is equal to

• A. $\sqrt { 3 }$sq. units
• B. $\sqrt { 6 }$ sq. units
• C. $\frac { 1 } { \sqrt { 3 } }$ sq. units
• D. $\frac { 1 } { \sqrt { 6 } }$ sq. union

Answer 1

Answer: (C)

$\frac { 1 } { \sqrt { 3 } }$ sq. units

Answer 2

We must have d(P, OA) ≥ d(P, OB) as well as d(P, OA) ≥ d(P, AB). Thus, 'P' must lie above the bisectors of ∠BOA and ∠BAO.

Required area