A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of the line on the coordinate axes is
Three stones A, B and C are placed at the point (1, 1), (2, 2) and (4, 4) respectively. Then which of these stones is / are on the path of the man?
A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of the line on the coordinate axes is Three stones A, B and C are placed at the point (1, 1), (2, 2) and (4, 4) respectively. Then which of these stones is / are on the path of the man?
Option 1 -
A only
Option 2 -
All the three
Option 3 -
C only
Option 4 -
B only
-
1 Answer
-
Correct Option - 3
Detailed Solution:According to question,
Equation of required line is
Obviously B (2, 2) satisfying condition (i)
Similar Questions for you
Eqn : y – 0 = tan45° (x – 9) Þ y = (x – 9)
Option (B) is correct
|r1 – r2| < c1c2 < r1 + r2
->
Now,
(y – 2) = m (x – 8)
⇒ x-intercept
⇒
⇒ y-intercept
⇒ (–8m + 2)
⇒ OA + OB =
->
->
->
->Minimum = 18
Kindly consider the following figure
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 688k Reviews
- 1800k Answers