Area Question 24

Question 24

  1. The area bounded by the curves y=(x1)2,y=(x+1)2 and y=14 is

(2005, 1M) (a) 13 sq unit (b) 23 sq unit (c) 14 sq unit (d) 15 sq unit

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Solution:

  1. The curves y=(x1)2,y=(x+1)2 and y=1/4 are shown as

where, points of intersection are

(x1)2=14x=12 and (x+1)2=14x=12

i.e.

Q12,14 and R12,14

Required area =201/2(x1)214dx

=2(x1)3314x1/2 =218318130=824=13 sq unit 



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