Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the area bounded by the curve y + x 2 = 8x and the line y =12 is K sq. units, then the value of 
is
Text Solution
Verified by ExpertsThe correct answer is:
3
3.2
The curves are y = -x 2 + 8x = -x (x - 8) and y = 12
The intersection points are A and B where
-x 2 + 8x = 12 
x 2 - 8x + 12 = 0
(x - 2) (x - 6) = 0
x = 2,6
i.e. A (2,12) andB(6,12)
Thus, the required area is
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
A farmer F 1 has a land in the shape of a triangle with vertices at P(0, 0), Q(l, 1) and R(2, 0). F…
The positive value of parameter a for which the area bounded by parabolas y = x - ax 2 and ay = x 2…
The area enclosed between the curves y = ax 2 and x = ay 2 (a > 0) is 1 sq unit. If the value of a …
The area bounded by the curves y = lnx, y = ln |x|, y =|ln [x]|and y =|ln x|, for x (-1, l) is
If the area bounded by and the x-axis from x = ltox = 3is (where, p & q are coprime), then the va…
The area (in sq. units) bounded by y = 2 -|x –2| and the a-axis is