Home
Class 11
MATHS
Find the range of values of the ordinate...

Find the range of values of the ordinate of a point moving on the line `x=1` , which always remain in the interior of the triangle formed by the lines `y=x ,` the x-axis and `x+y=4.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

The circumcenter of the triangle formed by the line y=x ,y=2x , and y=3x+4 is

Find the area of the triangle formed by the lines y-x=0, x+y=0 and x-k=0 .

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

Determine graphically, the vertices of the triangle formed by the lines y=x, 3y=x and x+y=8

If the point (1, alpha) always remains in the interior of the triangle formed by the lines y = x, y = 0 and x + y = 4, then alpha lies in the interval

The triangle formed by the straight lines x=y , x+y=4 and x+3y=4 is :

Find the area of the triangle formed by the lines y-x=0,x+y=0 and x-k=0 .

Find the area of the triangle formed by the lines y-x=0,x+y=0 and x-k=0 .

Find the area of the triangle formed by the lines y+x-6=0, 3y-x+2=0 and 3y=5x+2 .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Find the set of positive values of b for which the origin and the poin...

    Text Solution

    |

  2. If the point P(a^2,a) lies in the region corresponding to the acute an...

    Text Solution

    |

  3. Find the range of values of the ordinate of a point moving on the line...

    Text Solution

    |

  4. The point (8,-9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 lie...

    Text Solution

    |

  5. If the point (a^2,a+1) lies in the angle between the lines 3x-y+1=0 an...

    Text Solution

    |

  6. Find the range of (alpha,2+alpha) and ((3alpha)/2,a^2) lie on the oppo...

    Text Solution

    |

  7. Which pair of points lies on the same side of 3x-8y-7=0? a) (0,-1)a n...

    Text Solution

    |

  8. The line (x)/(a)+(y)/(b)=1 moves in such a way that (1)/(a^2)+(1)/(b^2...

    Text Solution

    |

  9. Consider the lines given by L1: x+3y-5=0 L2:3x-k y-1=0 L3:5x+2y-12=0...

    Text Solution

    |

  10. A variable straight line is drawn through the point of intersection of...

    Text Solution

    |

  11. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

    Text Solution

    |

  12. Find equation of the line passing through the point (2, 2) and cutt...

    Text Solution

    |

  13. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  14. A ray of light is sent along the line 2x-3y=5. After refracting across...

    Text Solution

    |

  15. Let P""=""(-1,""0),""Q""=""(0,""0)""a n d""R""=(3,""3sqrt(3)) be th...

    Text Solution

    |

  16. A ray of light is sent along the line x-2y-3=0 upon reaching the line ...

    Text Solution

    |

  17. Line L has intercepts a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  18. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  19. A line 4x+y=1 passes through the point A(2,-7) and meets line BC at B ...

    Text Solution

    |

  20. A straight canal is 4 1/2m i l e s from a place and the shortest route...

    Text Solution

    |