Questions
If denotes the arithmetic mean and denotes the geometric mean of the intercepts made on the coordinate axes by the lines passing through the point (1, 1), then the point lies on
detailed solution
Correct option is B
Let the equation of the line be xa+yb=1 If it passes through (1, 1), then 1a+1b=1⇒ a+b=abSince the line makes intercepts of lengths a and b on the coordinate axes, we haveh=a+b2 and k=abso that from (i) we get 2h=k2 and thus the point (h, k)lies on 2x=y2 which is a parabola.Talk to our academic expert!
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A line L cuts the sides AB, BC of ABC in the ratio 2 : 5, 7 : 4 respectively. Then the line L cuts CA in the ratio
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