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MHT CET202016 Oct 2020Evening ShiftMathematicsInverse Trigonometric FunctionsActual

The value of ⁻¹ ( 1 3 )+ ⁻¹ ( 1 5 )+ ⁻¹ ( 1 7 )+ ⁻¹ ( 1 8 ) is

Options

  1. A3
  2. B12
  3. C4
  4. D6

Correct answer

C. 4

Step-by-step solution

(D) Point of intersection of x=4 and 3 x+2 y=18 is Q (4,3) Point of intersection of y=6 and 3 x+2 y=18 is P (2,6) Point D (4,0) and C (0,6) are as shown. The feasible region of th given L.P.P. is shaded portion CPQ D O. We have to maximize Z =3 x +5 y . Now, array ll Z at C (0,6) & =3(0)+5(6)=30 Z at P (2,6) & =3(2)+5(6)=36 Z at Q (4,3) & =3(4)+5(3)=27 Z at D (4,0) & =3(4)+5(0)=12 Z at O (0,0) & =3(0)+5(0)=0 array Clearly the maximum value of Z is 36 at P(2,6)

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