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Question: A(3, 4), B(0, 0) & C(3, 0) are vertices of DABC. If 'P' is a point inside DABC, such that d(P, BC) £...

A(3, 4), B(0, 0) & C(3, 0) are vertices of DABC. If 'P' is a point inside DABC, such that d(P, BC) £ min. {d (P, AB), d(P, AC)}. Then maximum of d(P, BC) is : (d(P,BC) represent distance between P and BC)

A

1

B

1/2

C

2

D

None of these

Answer

1

Explanation

Solution

The required point is point of intersection of internal angle bisectors

\ P(x, y) = Incentre of D.