The area (in sq. units) bounded by the curves y=(x+1)^2, y=(x-1)^2 and the line y= 14 is

MHT CET 2024 Mathematics question

The area (in sq. units) bounded by the curves and the line is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The parabolas meet where , i.e. , . The line cuts at and at (the points nearer the origin). The bounded region lies above the line and below the V-shaped boundary formed by for and

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Question ID VK-095060