Area Question 20

Question 20

  1. The area (in sq units) bounded by the curves y=x,2y−x+3=0,X-axis and lying in the first quadrant, is

(2013 Main, 03) (a) 9 (b) 6 (c) 18 (d) 274

Show Answer

Solution:

  1. Given curves are y=x

and

2y−x+3=0

On solving Eqs. (i) and (ii), we get

2x−(x)2+3=0 ⇒(x)2−2x−3=0 ⇒(x−3)(x+1)=0⇒x=3  ∴=3

Hence, required area

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