Home
Class 10
MATHS
The vertices of A B C are (-2,\ 1),\...

The vertices of ` A B C` are `(-2,\ 1),\ (5,\ 4)` and `(2,\ -3)` respectively. Find the area of the triangle and the length of the altitude through `A` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A. Also, find the equation of the line through vertex B and parallel to AC.

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.

Prove that (2,\ -2),\ (-2,\ 1) and (5,\ 2) are the vertices of a right angled triangle. Find the area of the triangle and the length of the hypotenuse.

A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC. Find : the slope of the altitude of AB.

A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. find the equation of: the altitude of the triangle through B.

If A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) are the vertices of a triangle A B C , what is the length of the median through vertex A ?

If A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) are the vertices of a triangle A B C , what is the length of the median through vertex A ?

(-5, 2), (3, -6) and (7, 4) are the vertices of a triangle. Find the length of its median through the vertex (3,-6).

A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find the equation of the line through G and parallel to AC.

A(-3, 1), B(4,4) and C(1, -2) are the vertices of a triangle ABC. Find: the equation of altitude AE.

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the area of the quadrilateral whose vertices are (-4,\ -2),\ (...

    Text Solution

    |

  2. The four vertices of a quadrilateral are (1,\ 2),\ (-5,\ 6),\ (7,\ ...

    Text Solution

    |

  3. The vertices of A B C are (-2,\ 1),\ (5,\ 4) and (2,\ -3) respecti...

    Text Solution

    |

  4. Show that the following sets of points are collinear. (2,\ 5),\ (4,...

    Text Solution

    |

  5. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

    Text Solution

    |

  6. The area of a triangle is 5. Two of its vertices are (2,\ 1) and (3...

    Text Solution

    |

  7. Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 3x) are...

    Text Solution

    |

  8. For what value of a the point (a ,\ 1),\ (1,\ -1) and (11 ,\ 4) are...

    Text Solution

    |

  9. Prove that the points (a ,\ b),\ (a1,\ b1) and (a-a1,\ b-b1) are ...

    Text Solution

    |

  10. If (x ,\ y) be on the line joining the two points (1,\ -3) and (-4,...

    Text Solution

    |

  11. Find the value of k if points (k ,\ 3),\ (6,\ -2) and (-3,\ 4) are ...

    Text Solution

    |

  12. Find the value of k , if the points A(7,\ -2),\ \ B(5,\ 1) and C...

    Text Solution

    |

  13. If the point P(m ,\ 3) lies on the line segment joining the poin...

    Text Solution

    |

  14. Find the value of k if the points A(8,1), B(3,-4) and C(2,k) are colli...

    Text Solution

    |

  15. Find the value of a for which the area of the triangle formed by...

    Text Solution

    |

  16. If the vertices of a triangle are (1,\ -3),\ (4,\ p) and (-9,\ 7) a...

    Text Solution

    |

  17. Find the area of a parallelogram A B C D if three of its vertice...

    Text Solution

    |

  18. The points (k-1, k+2),(k , k+1),(k+1, k) are collinear for

    Text Solution

    |

  19. If the points A(-1,\ -4),\ \ B(b ,\ c) and C(5,\ -1) are colline...

    Text Solution

    |

  20. If P(-5,\ -3),\ Q(-4,\ -6),\ R(2,\ -3) and S(1,\ 2) are the vertice...

    Text Solution

    |