Home
Class 12
MATHS
The shaded region shown in the figure is...

The shaded region shown in the figure is given by the inequations

A

`14x+5y ge 70, yle 14 and x-y ge 5`

B

`14x+5y le 70, yle 14 and x-y ge 5`

C

`14x+5y ge 70, y ge 14 and x-y ge 5`

D

`14x+5y ge 70, y le 14 and x-y le 5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|26 Videos

  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

  • LINEAR PROGRAMMING

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

The shaded region in the given figure is

The shaded region in the figure represents

The shaded region in the Venn diagram is

The shaded region in the venn diagram is

Shade the region given by the inequality xge2

There are some experiment in which the outcomes cannot be identified discretely. For example, an ellipse of eccentricity 2sqrt(2)//3 is inscribed in a circle and a point within the circle is chosen at random. Now, we want to find the probability that this point lies outside the ellipse. Then, the point must lie in the shaded region shown in Figure. Let the radius of the circle be a and length of minor axis of the ellipse be 2b. Given that 1 - (b^(2))/(a^(2)) = (8)/(9) or (b^(2))/(a^(2)) = (1)/(9) Then, the area of circle serves as sample space and area of the shaded region represents the area for favorable cases. Then, required probability is p= ("Area of shaded region")/("Area of circle") =(pia^(2) - piab)/(pia^(2)) = 1 - (b)/(a) = 1 - (1)/(3) = (2)/(3) Now, answer the following questions. A point is selected at random inside a circle. The probability that the point is closer to the center of the circle than to its circumference is

Determine the region in the plane determined by the inequalities. x le 3y, x ge y

Determine the region in the plane determined by the inequalities. y ge 2x, -2x + 3y le 6.

NEW JOYTHI PUBLICATION-LINEAR INEQUALITIES-QUESTIONS FROM COMPETITIVE EXAMS
  1. The set of point (x,y) satisfying x+y le 1 , -x-yle 1 lie in the regio...

    Text Solution

    |

  2. The number of solutions of the inequation |x-1| + |x+2| lt 4 is

    Text Solution

    |

  3. The shaded region shown in the figure is given by the inequations

    Text Solution

    |

  4. The set of all x satisying the inequility (4x-1)/(3x+1) ge 1 is

    Text Solution

    |

  5. The set of values of x satisfying 2 le | x-3| lt 4 is

    Text Solution

    |

  6. Number of integral solutions of (x+2)/(x^2 + 1) gt 1/2 is

    Text Solution

    |

  7. If r is a real number |r| lt 1 and if a= 5(1-r) , then

    Text Solution

    |

  8. Suppose a,b and c are real numbers such that a/b gt 1 and a/c lt 0 . W...

    Text Solution

    |

  9. If x^2 + 2x + n gt 10 for all real number x, then which of the followi...

    Text Solution

    |

  10. The set of admissible value of x such that (2x+3)/(2x-9) lt 0 is

    Text Solution

    |

  11. If x satisfies the inequations 2x - 7 lt 11 , 3x + 4 lt -5 , then x l...

    Text Solution

    |

  12. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge 0 i...

    Text Solution

    |

  13. The solution set of the inequation (x+11)/(x-3) gt 0 is

    Text Solution

    |

  14. If 3 le 3t - 18 le 18 , then which one of the following is true ?

    Text Solution

    |

  15. If |2x-3| lt |x+5| , then x lies in the interval

    Text Solution

    |

  16. The solution of (x+3)/(x-2) le 2 is

    Text Solution

    |

  17. If (2x+3)/(5) lt (4x-1)/(2) , then x lies in the interval

    Text Solution

    |

  18. If 7x-2lt 4 - 3x and 3x-1 lt 2 + 5x , then x lies in the interval

    Text Solution

    |

  19. If x satisfies the inequalities x+7 le 2x + 3 and 2x+4 lt 5x + 3 , th...

    Text Solution

    |

  20. The set of point (x,y) satisfying x+y le 1 , -x-yle 1 lie in the regio...

    Text Solution

    |