Let the line be y=mx+c
x - intercept : −mc
y - intercept : cA.M of reciprocals of the intercepts :
2−cm+c1=41⇒2(1−m)=c
line :y=mx+2(1−m)=c
⇒(y−2)−m(x−2)=0
⇒ line always passes through (2,2)
A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axes is 41. Three stones A,B and C are placed at the points (1,1),(2,2) and (4,4) respectively. Then which of these stones is/are on the path of the man?
Held on 24 Feb 2021 · Verified 6 Jul 2026.
C only
All the three
B only
A only
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