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Q.

COLUMN - ICOLUMN - II
A)Area of the ellipse  x2a2+y24=1 isp)πa22Sq.units 
B)Area bounded by the curve x2 +y2 =2ax isq)(π2)a2 s.u 
C)Area bounded by the curve xy2=a2(a–x) and y – axisr)2 S.u 
D)Area bounded by x2+y2a2,|x|+|y|as)πa2 S.u 
 (A)(B)(C)(D)
1)qpsr
2)srqp
3)pqsr
4)rssq

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a

2

b

1

c

3

d

4

answer is D.

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Detailed Solution

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A) Area of ellipse =πab

Area of the ellipse  x2a2+y24=1 is =2πa

B) Area of circle =πr2 

Area  bounded by the curve x2 +y2 =2ax is πa2

C) Required area 2a0aaxx=πa2 put x=asin2θ

D) Required area =4πa2412a2=πa22a2

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COLUMN - ICOLUMN - IIA)Area of the ellipse  x2a2+y24=1 isp)πa22Sq.units B)Area bounded by the curve x2 +y2 =2ax isq)(π−2)a2 s.u C)Area bounded by the curve xy2=a2(a–x) and y – axisr)2aπ S.u D)Area bounded by x2+y2≤a2,|x|+|y|≥as)πa2 S.u  (A)(B)(C)(D)1)qpsr2)srqp3)pqsr4)rssq