Question
Question: A (3, 4), B (0, 0) and C(3, 0) are vertices of D ABC. If ‘P’ is a point inside DABC, such that d (P,...
A (3, 4), B (0, 0) and C(3, 0) are vertices of D ABC. If ‘P’ is a point inside DABC, such that d (P, BC) £ min. {d(p, AB), d(P, AC)}. Then the maximum of d (P, BC) is (d(p, BC) represent distance between P and BC)-
A
1
B
½
C
2
D
None of these
Answer
1
Explanation
Solution
d(P, BC) £ min {d(P, AB), d(P, AC)}.
The region represented is shown by shaded region,
Where BP and CP are angular bisectors
Clearly maximum of d(P, BC) occurs, when P is incentre of DABC
\ Maximum of d (P, BC) = PN = ordinate of incentre P = 1.