Home
Class 11
MATHS
Find the area of the triangle formed by ...

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

Text Solution

AI Generated Solution

To find the area of the triangle formed by the lines \( y = x \), \( y = 2x \), and \( y = 3x + 4 \), we will follow these steps: ### Step 1: Find the intersection points of the lines. 1. **Finding Point A (Intersection of \( y = x \) and \( y = 3x + 4 \))**: - Set \( y = x \) equal to \( y = 3x + 4 \): \[ x = 3x + 4 ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the lines y=x+1, 3y=x+5 and y=-x+7 by method of integration.

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=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 .

Find the area of the triangle formed by the straight lines y=2x, x=0 and y=2 by integration.

Find the area of the quadrilateral formed by the lines y=2x+3 , y=0, x=4, x=6 .

Find the area of the quadrilateral formed by the lines y=2x+3, y=0, x=2 and x=4 using integration.

The area of the triangle formed by the lines y= ax, x+y-a=0, and y-axis is equal to

Find the area of triangle formed by the lines : y=0,\ x=2\ a n d\ x+2y=3.

NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

    Text Solution

    |

  2. Find the new co-ordinates of the following points when origin is shift...

    Text Solution

    |

  3. At which point the origin should be shifted such that the new co-ordin...

    Text Solution

    |

  4. If the origin is shifted to the point (1,2) then what will be the tran...

    Text Solution

    |

  5. Find the point at which origin is shifted such that the transformed e...

    Text Solution

    |

  6. Find the point at which is shifted such that the transformed equations...

    Text Solution

    |

  7. Shift the origin to a suitable point so that the equation y^2+4y+8x-2=...

    Text Solution

    |

  8. Show that the area of triangle whose vertices are (1,0), (2,4) and (3,...

    Text Solution

    |

  9. Find the slope of the lines whose iclination is given : (i) 45^(@) (...

    Text Solution

    |

  10. Find the inclination of the lines whose slopes are as follows : (i) ...

    Text Solution

    |

  11. Find the slopes of the lines passing through the following points : ...

    Text Solution

    |

  12. If the slope of a line passing through the points (1,4) and (x,2) is 2...

    Text Solution

    |

  13. If the angle of inclination of line joining the points (x,3) and (-2,5...

    Text Solution

    |

  14. If the slop of line joining the points (6,-3) and (x,7) is 2, find the...

    Text Solution

    |

  15. Show that the line joining the points (4,-1) and (-3,3) is parallel to...

    Text Solution

    |

  16. If the line joining the points (5,y) and (4,9) is parallel to the line...

    Text Solution

    |

  17. Show that the line joining the points (4,-3) and (0,7) is perpendicula...

    Text Solution

    |

  18. If the line joining the points (6,-2) and (8,4) is perpendicular to th...

    Text Solution

    |

  19. Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1...

    Text Solution

    |

  20. Using slopes, show that the points A(0,5), B(3,2) and C(-1,6) are coll...

    Text Solution

    |

  21. Using the slope of line, show that the points (-1,-2), (0,4), (3,3) an...

    Text Solution

    |