Published by:
CGP EDU Academic Team
Published on: August 14, 2026
An arch way is in the slope of a semi-ellipse, the road level being the major axis. If the breadth of the road is 30 m and the height of the arch is 6 m at a distance of 2 m from the side, the greatest height of the arch is–
Text Solution
Verified by ExpertsThe correct answer is:
A
Equation of the ellipse is 
= 1
The point P ( – (a – 2), 6) lies on it
+ 
= 1
= 1 – 
⇒ 
= 
b 2 = 
⇒ 
= 9 
and 
= 
For extreme value of b
= 0 ⇒ a = 2
b 2 = 
⇒ b = 6m
greatest height of the arch is 6m.
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