Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A curve is represented parametrically by the equations x = t + e at and y = –t + e at when t ∈ R and a > 0. If the curve touches the axis of x at the point A, then the coordinates of the point A are
Text Solution
Verified by ExpertsThe correct answer is:
B
let it be (t 1 0) so 0 = – t 1 + 
.........(i)
Now 
= 0 ⇒ 
= 0 ⇒ – 1 + a 
= 0
⇒ 
= 
....(ii)
from (i) & (ii) t 1 = 
Hence 
= 
⇒ 
= e
Hence x = 
+ 
so x = 
= 2e
pt A (2e, 0)
e = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If f(x) = cos π x + 10x + 3x 2 + x 3 , – 2 ≤ x ≤ 3 then absolute minimum value of f(x) is-
The function f(x) = x 5 – 5x 4 + 5x 3 – 1 has-
The function f(x) = has no extrema. if (n ∈ z)
If x exceeds by its square by the greatest possible quantity then x is-
An extreme value of the function
f(x) = (sin –1 x) 3 + (cos –1 x) 3 (–1 < x < 1) is
Let f(x) = (t + 4) 4 log (t+ 1) dt, then -