Ex 8.2, 6 - Smaller area enclosed by circle x2 + y2 = 4, line - Ex 8.2

Ex 8.2, 6 - Chapter 8 Class 12 Application of Integrals - Part 2
Ex 8.2, 6 - Chapter 8 Class 12 Application of Integrals - Part 3 Ex 8.2, 6 - Chapter 8 Class 12 Application of Integrals - Part 4 Ex 8.2, 6 - Chapter 8 Class 12 Application of Integrals - Part 5

Remove Ads

Transcript

Ex 8.2 , 6 Smaller area enclosed by the circle š‘„2+š‘¦2 =4 and the line š‘„+š‘¦=2 is (A) 2 (Ļ€ – 2) (B) Ļ€ – 2 (C) 2Ļ€ – 1 (D) 2 (Ļ€ + 2) Step 1: Drawing figure Circle is š‘„2+š‘¦2 =4 (š‘„āˆ’0)2+(š‘¦āˆ’0)2 = 2ļ·®2ļ·Æ So, Center = (0, 0) & Radius = 2 Also, š‘„+š‘¦=2 passes through (0, 2) & (2, 0) Hence, intersecting points A = (2, 0) & B = (0, 2) Thus, Area required = Area OACB āˆ’ AREA OAB = šœ‹ āˆ’ 2 Thus, Option (B) is correct.

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.