Home
Class 11
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

a triangle ABC with vertices A(2,3),B(4,−1),C(1,2).
Let AD be the perpendicular from the vertex A.
Now the slope of BC is `m1= (y2-y1)/ ( x2-x1)`
` =3/( -3)`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|24 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.1|14 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.4|4 Videos
  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise All Questions|110 Videos

Similar Questions

Explore conceptually related problems

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

area of the triangle with vertices A(3,4,-1), B(2,2,1) and C(3,4,-3) is :

Given the vertices A(10, 4), B(-4, 9) and C(-2, -1) of DeltaABC , find the equation of the altitude through B

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.

In a triangleABC , B=(2,3),C=(7,-1) and AB=3,AC=5 then find the equation of altitude through the vertex A.

The vertices of a triangle ABC are A(0, 0), B(2, -1) and C(9, 2) , find cos B .

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

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

Find the equation of the side BC of the triangle ABC whose vertices are A(-1,-2),\ B(0,1)a n d C(2,0) respectivley. Also, find the equation of the median through A(-1,\ -2)dot

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

NCERT ENGLISH-STRAIGHT LINES-EXERCISE 10.3
  1. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

    Text Solution

    |

  2. Prow that the line through the point (x1, y1)and parallel to the line...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the equation of the right bisector of the line segment joining...

    Text Solution

    |

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

    Text Solution

    |

  6. The perpendicular from the origin to the line y = m x + cmeets it at...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Reduce the following equations into slope intercept form and find th...

    Text Solution

    |

  13. Find equation of the line parallel to the line 3x - 4y + 2 = 0and pass...

    Text Solution

    |

  14. Find the distance between parallel lines(i) 15 x + 8y -34 = 0and 15 x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find equation of the line perpendicular to the line x - 7y + 5 = 0and ...

    Text Solution

    |