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KCET2015MathematicsFunctions

The shaded region shown in fig. is given by the inequation

Options

  1. A( 14 x+5 y 70 ; y 14 ) and ( x-y 5 )
  2. B( 14 x+5 y 70 ; y 14 ) and ( x-y 5 )
  3. C( 14 x+5 y 70 ; y 14 ) and ( x-y 5 )
  4. D( 14 x+5 y 70 ; y 14 ) and ( x-y 5 )

Correct answer

A. ( 14 x+5 y 70 ; y 14 ) and ( x-y 5 )

Step-by-step solution

Let points, A(0,14), B(5,0) and C(19,14) Now, equation of side AB is x 5 + y 14 =1 14 x+5 y=70 (1) Equation of side AC is y=14 (2) and equation of side BC is x-y=5 (3) Therefore, the shaded region shown in figure is given by the inequation 14 x+5 y>70 y < 14 and x-y < 5

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