Maths Definite Integral and Area Under Curves JEE Main 2022 - ( Area Under Curve ) Single Correct MCQ
Published on: August 14, 2026

Consider a curve y = y(x) in the first quadrant as shown in the figure. Let the area A 1 is twice the area A 2 . Then the normal to the curve perpendicular to the line 2x - 12y = 15 does NOT pass through the point. Y

A
(6,21)
B
(8, 9)
C
(10,-4)
D
(12,-15)

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Text Solution

Verified by Experts
The correct answer is:
C

Given that A 1 = 2A 2

from the graph A 1 + A 2 = xy - 8

As f(4) = 2 c = 1

So y 2 =x

slope of normal = -6

Now check options and will not satisfy.

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