Home
Class 12
MATHS
In the triangle ABC with vertices A (2,...

In the triangle ABC with vertices `A (2, 3) , B (4, -1) " and " C (1, 2)`, find the equation and length of altitude from the vertex A.

Text Solution

Verified by Experts

The correct Answer is:
Equation of AD is y-x=1, Length of AD is `sqrt(2)`
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 vertices of a triangle are A(-1, 3), B(1, -1) and C(5, 1) . Find the length of the median through the vertex C.

Find the area of the triangle with vertices A(1,1,2)B(2,3,5) and C(1,5,5).

Consider the triangle ABC with vertices A(1,2,3) , B(-1, 0, 4) and C(0, 1, 2) (a) Find vec (AB) and vec (AC) Find angle A . (c) Find the area of triangle ABC.

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

The vertices of triangle ABC are A (-2, 3), B (2, -3) and C (4,5) i. Find the slope of BC. ii. Find the equation of the altitude of triangle ABC passing through A.

Find the area of triangle ABC given that vertices are A(2,1,-2) B(1,4,2) and C(3,-1,-1).

The vertices of Delta PQR " are " P (2, 1) , Q (-2, 3) " and " R (4, 5) . Find equation of the median through the vertex R.

Find the area of the triangle vertices are (2, 3) (-1, 0), (2, -4)

The area of the triangle ABC whose vertices are (2,1) (-3,4) (6,2) is :

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. In the triangle ABC with vertices A (2, 3) , B (4, -1) " and " C (1, ...

    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

    |