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Q.

COLUMN - ICOLUMN - II
A)Let a function is defined in [–2, 2] as f(x)={x}2x<1|sgnx|1x1{x}1<x2Then the area bounded by the graph of f(x) and x-axis isp)4
B)Area bounded by the min {|x|,|y|}=1 and the max {|x|,|y|}=2 isq)3
C)Area bounded by y=4x2 and its diameter y = 0 isr)6
D)Let ‘R’ be the region containg the points (x,y) on the xy-plane satisfying 2|x+3y|+|xy|4 then the area of this region iss)2π
 (A)(B)(C)(D)
1)qpsr
2)srqp
3)pqsr
4)rqsp

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

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A) Area 2+42×1=3 sq.units 

Question Image

B) Area = 4 × 1 = 4 sq. units

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C) R.A=πr22=2π

Question Image

D) 2±(x+3y)±xy4

Area enclosed between two parallelograms

= 4 × 2 – 2 × 1

= 8 – 2

= 6 sq. units

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