Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The distance between the origin and the normal to the curve y = e 2x + x 2 drawn at the point x = 0 is -
Text Solution
Verified by ExpertsThe correct answer is:
B
The equation of the curve is y = e 2x + x 2 , when x = 0, y = 1
= 2e 2x + 2x = 2 at the point (0, 1)
∴ slope of the normal = (1/2) and the normal passes through the point (0, 1)
∴ the normal has the equation y – 1 = – (1/2)x
⇒ x + 2y – 2 = 0, ∴ required distance = 2/ √ 5
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 -