Home
Class 12
MATHS
Find the area of the triangle formed by ...

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

Text Solution

Verified by Experts

The correct Answer is:
`k^(2)` square units
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

The orthocentre of the triangle formed by the lines x = 0, y = 0 and x + y = 1 is

The area of the triangle formed by the lines x^(2)-4y^(2)=0 " and " x=a is

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 a triangle formed by lines 3x+y-2=0, 5x+2y-3=0 and 2x-y-3=0

The orthocentre of a triangle formed by the lines x - 2y = 1, x = 0 and 2x + y - 2 = 0 is

Find the area of the triangle formed by the following lines and X axis. 4x - 3y +4 = 0 and 4x + 3y - 20 = 0

The orthocenter of the triangle formed by the lines xy=0 and x+y=1 is

Find the area of the region bounded by the curves y = x^(2) + 2, y = x, x = 0 and x = 3.

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. Find the area of the triangle formed by the lines y - x = 0, x + y = 0...

    Text Solution

    |

  2. The incentre of the triangle ABC where A(-36, 7) B (20,7) and C (0,-8...

    Text Solution

    |

  3. The foot of the perpendicular from the point (3,4) on the line 3x – 4...

    Text Solution

    |

  4. The equation of the base BC of an equilateral triangle ABC is x+y= 2 ...

    Text Solution

    |

  5. The product of the perpendiculars from (-1,2) to the pair of lines ...

    Text Solution

    |

  6. The distance between the pair of parallel lines x^(2) + 4xy + 4y^(2) ...

    Text Solution

    |

  7. The four lines 6x^(2) – 5xy - 6y^(2) + x+5y–1=0 and 6x^(2) – 5xy -6y^...

    Text Solution

    |

  8. The foot of perpendicular from (-2, 3) to the line 2x - y - 3 = 0 is

    Text Solution

    |

  9. If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concur...

    Text Solution

    |

  10. The centroid of a triangle formed by the points (0,0), (cos theta, si...

    Text Solution

    |

  11. The orthocentre of the triangle formed by (8,0) and (4, 6) with the o...

    Text Solution

    |

  12. If xy - 4x + 3y - lambda=0 represents the asymptotes of xy - 4x + 3y ...

    Text Solution

    |

  13. The inclination of the straight line passing through the point (-3, 6...

    Text Solution

    |

  14. A point moves such that the area of the triangle formed by it with th...

    Text Solution

    |

  15. The line (x)/(a)-(y)/(b) =1 cuts the x-axis at P. The equation of t...

    Text Solution

    |

  16. The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda...

    Text Solution

    |

  17. The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...

    Text Solution

    |

  18. Distance between the lines 5x + 3y-7 = 0 and 15x +9y + 14 = 0 is

    Text Solution

    |

  19. If the equation 2x^(2) + 7xy+3y^(2) - 9x - 7y+k=0 represents a pair o...

    Text Solution

    |

  20. The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is

    Text Solution

    |

  21. Distance between the pair of lines represented by the equation x^(2)–...

    Text Solution

    |