Home
Class 12
MATHS
Consider the inequalities x(1)+x(2) le,2...

Consider the inequalities `x_(1)+x_(2) le,2, 2x_(1)+5x_(2) ge 10, x_(1),x_(2) ge0`. Which of the following point lie in the fesible region ?

A

(2,2)

B

(1,2)

C

(2,1)

D

(4,2)

Text Solution

Verified by Experts

The correct Answer is:
C
It is clear from the figure that points (2,2) (4,2) and (2,1) lies outside the fesible be region lies outside the fesible be region and only the points (1,2) lies in the fesible region.
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 06

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 08

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 OBJECTIVE TYPE|48 Videos

Similar Questions

Explore conceptually related problems

Consider the inequalities 5x_(1) + 4x_(2) ge 9,x_(1) x_(2) ge 3 , x_(1) gt 0 , x_(2) gt 0 . Which of the following point does not lie inside the solution set ?

Consider the inequalities 5x_1+4x_2ge9,x_1+x_2 le 3, x_1 ge 0 , x_2 ge 0 Which of the following point lies inside the solution set ?

Consider the inequalities x_1+x_2 le 3,2x_1+5x_2ge 10x_1,x_2 ge 0 then feasible region is

The objective function Z=x_(1)+x_(2), subject to x_(1) +x_(2) le 10 , - 2x _(1) +3x_(2)le 15, x x_(1) le 6,x_(1),x_(2) ge 0 has maximum value ________ of the feasible region .

If 3x+4y ge 12, 2x+y le6, x ge0, y ge0 , then the corner points of the feasible region are

If 3x_(1)+5x_(2) le 15,5x_(1)+2x_(2) le 10,x_(1),x_(2)ge0, then the maximum value of z=5x_(1)+3x_(2) by graphical method is

(a) Draw the feasible region of inequation: x + y le 4, x ge 0, y ge 0 (b) Draw the graph of the following LPP: 3x + y le 17, x, y ge 0 (c) Shade the feasible region of LLP: (i) x + 3y ge 3, x + y ge 2, x ge 0, y ge 0 (ii) x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0

Solution set of the inequalities x+2y ge11, 3x+4y le 30, 2x+5y le 30, x ge0, y ge0 includes the point

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 07-PAPER 2( MATHEMATICS)
  1. Equation of tangent to the parabola y^(2)=16x at P(3,6) is

    Text Solution

    |

  2. If cos(A-B) = 3/5, tan A*tan B = 2 which of the following is true

    Text Solution

    |

  3. Find the equation of a circle with centre (h, k) and touching the...

    Text Solution

    |

  4. Angle between tangents drawn to circle x^2+y^2=20 from the point (6,...

    Text Solution

    |

  5. The valume of the parallelopiped whose coterminous edges are hati-hatj...

    Text Solution

    |

  6. Consider the inequalities x(1)+x(2) le,2, 2x(1)+5x(2) ge 10, x(1),x(2)...

    Text Solution

    |

  7. The switching function for the following network is

    Text Solution

    |

  8. Gien that X is discrete random variable which take the values, 0,1,2 a...

    Text Solution

    |

  9. The degree of the differential equation (d^(3)y)/(dx^(3))+2 "sin"(dy)/...

    Text Solution

    |

  10. if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(...

    Text Solution

    |

  11. For any square matrix A,A A^(T) is a

    Text Solution

    |

  12. If the pair of straight lines xy - x - y +1=0 & the line ax+2y-3=0 are...

    Text Solution

    |

  13. If y=sqrt(x s inx+sqrt(sinx+sqrt(sinx+ tooo))),p rov et h a t(dy)/(dx)...

    Text Solution

    |

  14. The differential equation, obtained on eliminating A and B from the eq...

    Text Solution

    |

  15. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

    Text Solution

    |

  16. lim(x->0) (tan x - sin x)/(x^3) is equal to

    Text Solution

    |

  17. If 2 cos x ne 2 sin, x then the general solution of sin^(2)x-cos2x=2 s...

    Text Solution

    |

  18. The equation of the plane passing through the points (1,2,3), (-1,4,2)...

    Text Solution

    |

  19. The eqution of the plane which meets the axes in A,B,C such that the c...

    Text Solution

    |

  20. If a=hati-hatj-hatk and b= lambda hati-3hatj+ hatk and the orthogonal ...

    Text Solution

    |