Home
Class 12
MATHS
The solution set of 3x+4ylt0 lies in whi...

The solution set of 3x+4y`lt0` lies in which quadrants?

A

I only

B

I and II

C

I,II, and III

D

II,III, and IV

Text Solution

Verified by Experts

The correct Answer is:
D
Use the standard window the graph `y lt -(3)/(4)x`, by moving the cursor all the way left (past Y=) and keying Enter until a "lower triangle" is observed. The shaded portion of the graph will lie in all but Quadrant I.
An alternative solution is to graph the related equation `y=-(3)/(4)x` and test points to determine which side of the line contains solutions to the inequality. this will indicate the quadrant that the graph does not enter.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the equation of the circle which touches both the axes and the line 3x-4y+8=0 and lies in the third quadrant.

Find the equation of the circle which touches both the axes and the line 3x-4y+8=0 and lies in the third quadrant.

Show that the solution set of the following linear inequations is empty set: x+2y ,\ lt=3,\ 3x+4ygeq12 ,\ ygeq1,\ xgeq0,\ ygeq0

The solution set of x^(2) +x + |x| +1 lt 0 , is

The solution set of 6 le -3 (2x-4) lt 12 , x in R is

Solution set of x-sqrt(1-|x|)lt0 , is

If x in{-2,-1,0,1,2,3,4,5} , find the solution set of each of the following inequations : 3x+4lt15

If x in{-2,-1,0,1,2,3,4,5} , find the solution set of each of the following inequations : 3x-8lt1

ENGLISH SAT-MODEL TEST 2-MCQs
  1. If f(x)=x-7 and g(x)=sqrt(x), what is the domain of g@f?

    Text Solution

    |

  2. In triangleABC,a=1,b=4, and angleC=30^(@). The length of c is

    Text Solution

    |

  3. The solution set of 3x+4ylt0 lies in which quadrants?

    Text Solution

    |

  4. Which of the following could represent the inverse of the function gra...

    Text Solution

    |

  5. If f is a linear function and f(-2)=11,f(5)=-2, and f(x)=4.3, what is ...

    Text Solution

    |

  6. A taxicab company wanted to determine the fuel cost of its fleet. A sa...

    Text Solution

    |

  7. The range of the function y=x^(-2//3) is

    Text Solution

    |

  8. The formula A=Pe^(0.04t) gives the amount A that a savings account wil...

    Text Solution

    |

  9. A coin is tossed three times. Given that at least one head appears, wh...

    Text Solution

    |

  10. A unit vector parallel to vector vecV=(2,-3,6) is vector

    Text Solution

    |

  11. What is the equation of the horizontal asymptote of the function f(x)=...

    Text Solution

    |

  12. The points in the rectangular coordinate plane are transformed in such...

    Text Solution

    |

  13. A committee of 5 people is to be selected from 6 men and 9 women. If t...

    Text Solution

    |

  14. Three consecutive terms, in order, of an arithmetic sequence are x+sqr...

    Text Solution

    |

  15. The graph of xy-4x-2y-4=0 can be expressed as a set of parametic. If y...

    Text Solution

    |

  16. If f(9x)=ax^(2)+bx+c, how must a and b be related so that the graph of...

    Text Solution

    |

  17. The graph of y=log(5)x and y="ln "0.5x intersect at a point where x eq...

    Text Solution

    |

  18. What is the value of x if pi le x le (3pi)/(2) and sinx=5cosx?

    Text Solution

    |

  19. The area of thee region enclosed by the graph of the polar curve r=(1)...

    Text Solution

    |

  20. A rectangular box has dimensions of length=6, width=4, and height=5. t...

    Text Solution

    |