Home
Class 11
MATHS
In the triangle ABC with vertices A (...

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:
`sqrt(2)` units
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Miscelloneous Exercise|24 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise|10 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10.2|20 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

In the triangle with vertices A(1, -1, 2), B(5, -6, 2) and C(1, 3, -1), find the altitude n = |BD|.

In a triangle ABC ,with vertices A(2,3),B(4,-1) and C(1,2) then foot of the altitude which is drawn from the vertex C is

Consider the Delta ABC with vertices A(-2,3),B(2,1) and C(1,2) .what is the foot of the altitude from the vertex A of the triangle ABC?

Consider a triangle with vertices A(1,2),B(3,1), and C(-3,0). Find the equation of altitude through vertex A .the equation of median through vertex A .the equation of internal angle bisector of /_A.

Given the triangle with vertices A(-4,9),B(10,4),C(-2,-1). Find the equation of the altitude through A

Consider the triangle ABC with vertices A(-2,3),B(2,1) and C(1,2). What is the circumcentre of the triangle ABC?

The vertices of a triangle are A (-2, 1), B (6, -2) and C (4, 3) . Find the equation of the altitudes of the triangle.

The vertices of a triangle are A(10,4) ,B(-4,9) and C(-2,-1). Find the equation of the altitude through A.

MODERN PUBLICATION-STRAIGHT LINES -Exercise 10.3
  1. Reduce the following equations into slope-intercept form and find thei...

    Text Solution

    |

  2. Reduce the following equations into intercept form and find their int...

    Text Solution

    |

  3. Reduce the following equations into normal form. Find their perpendic...

    Text Solution

    |

  4. Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2).

    Text Solution

    |

  5. Find the points of the xaxis, whose distances from the line x/3+y/4=1...

    Text Solution

    |

  6. Find the distance between parallel lines (i) 15 x" "+" "8y" "" "34"...

    Text Solution

    |

  7. find equation of the line parallel to the line 3x - 4y + 2 = 0 and pas...

    Text Solution

    |

  8. Find equation of the line perpendicular to the line x" "" "7y" "+" "5"...

    Text Solution

    |

  9. Find angles between the lines sqrt(3)x+y=1and x+sqrt(3)y=1.

    Text Solution

    |

  10. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

    Text Solution

    |

  11. Prow that the line through the point (x1> y1) and parallel to the l...

    Text Solution

    |

  12. Two lines passing through the point (2, 3) intersects each other at a...

    Text Solution

    |

  13. Find the equation of the right bisector of the line segment joining th...

    Text Solution

    |

  14. Find the coordinates of the foot of perpendicular from the point (-1,3...

    Text Solution

    |

  15. The perpendicular from the origin to the line y=mx+c meets it at the p...

    Text Solution

    |

  16. If p and q are the lengths of perpendiculars from the origin to the l...

    Text Solution

    |

  17. In the triangle ABC with vertices A (2, 3), B (4, 1) and C (1, 2), ...

    Text Solution

    |

  18. If p is the length of perpendicular from the origin to the line whose ...

    Text Solution

    |