Home
Class 12
MATHS
The vertices of a triangle are (1, 2), (...

The vertices of a triangle are (1, 2), (h, -3) and (-4, k). Find the value of `sqrt({(h+k)^(2)+(h+3k)^(2)})`. If the centroid of the triangle be at point (5, -1).

Text Solution

Verified by Experts

The correct Answer is:
20
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

The centroid of a triangle, whose vertices are (2, 1), (5, 2) and (3, 4) is

The mid- points of the sides of a tiangle are (1,5,-1) (0,4,-2) and (2,3,4) . Find its vertices and also find the centroid of the triangle.

The mid point of the sides of a triangle are (1,5,-1) (0,4,-2) and (2,3,4) find its vertices also find the centroid of the triangle

If the centriod of the triangle whose vertices are (2,4),(3,k) and (4,2) is (k,3) then k

If the area of triangle is 35 sq.units with vertices (2,-6), (5,4) and (k,4) , find the values of 'k'

Three vertices of a triangle are A(4,3);B(1,-1) and C(7,k). Value(s) of k for which centroid,orthocentre,incentre and circumcentre of the Delta ABC lie on the same straight line is/are-

Points A(3,5) , B (-1,4) and C( 7,-6) are the vertices of Delta ABC. Find the coordinates of the centroid of the triangle

Let k be an integer such that the triangle with vertices (k, -3k), (5, k) and (-k, 2) has area 28 sq units. Then, the orthocentre of this triangle is at the point