Let D, E and F be the feet of altitudes from the vertices of acute -angled triangle ABC to the sides BC, AC and AB respectively. Triangle DEF is defined as the pedal triangle ABC. (R and rare circumradius and inradius of triangle of trangle ABC, respectivley) Consider the following statements: (i)orthicentre of the triangle ABC is incentre of the triangle DEF (ii) A,B,C are excentres of triangle DEF

Let D, E and F be the feet of altitudes from the vertices of acute -an

1.	Let D, E and F be the feet of altitudes from the vertices of acute -angled triangle ABC to the sides BC, AC and AB respectively. Triangle DEF is defined as the pedal triangle ABC. (R and rare circumradius and inradius of triangle of trangle ABC, respectivley) Consider the following statements: (i)orthicentre of the triangle ABC is incentre of the triangle DEF (ii) A,B,C are excentres of triangle DEF
Answer» only (i) is true only (II) is true both (i) and (ii) are true both (i) and (ii) are false Answer :C