Area Question 16

Question 16

  1. The area (in sq units) of the region

$A={(x, y) \in R \times R \mid 0 \leq x \leq 3$,

Missing or unrecognized delimiter for \right is

(2019 Main, 8 April I) (a) 536 (b) 8 (c) 596 (d) 263

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Solution:

  1. Here, Missing or unrecognized delimiter for \left

yx+3

 or y2x+3, when x3 3x, when x3

Shown as

 Also, 5y(x+9)15 (x+9)5y and x6

Shown as

Missing or unrecognized delimiter for \left

Required area = Area of trapezium ABCD

  • Area of ABE under parabola - Area of CDE under parabola

=12(1+2)(5)43(x+3)dx31(x+3)dx

=152(3x)3/232(x+3)3/232

=152+23[01]23[80]=15223163=152183=32



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