Home
Class 12
MATHS
Two vertices of triangle are (4 , 3 , -...

Two vertices of triangle are (4 , 3 , -6) , (3 , -4 , 4) and the coordinates of its centroid are ( 2 , - 2 , 1) , find the coordinates of the third vertex of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
Therefore, the coordinates of the third vertex of the triangle are ( - 1 , -5 , 5) .
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Multiple Choice Questions|18 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|60 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the vertex A of the triangle ABC are ( - 3 , -4, -2) , if the coordinates of its centroid are ( 1 , - 2 , 2) , then find the coordinates of the mid - point of the side overline(BC)

The coordinates of the vertex A of the triangle ABC are (-3,-4,-2) , if the coordinates of its centroid are (1,-2,2) , then find the coordinates of the mid -point of the side bar(BC) .

Two vertces of a parallelogram are (2 , 5 , -3) and ( 3 , 7 , -5) , it its diagonals meet at ( 4 , 3 , 3) , find the coordinates of the other two vertices .

The coordinates of the vertex A of the triangle ABC are (7,-4) . If the coordinates of the centroid of the triangle be (1,2) , find the coordinates of the mid - point of the side overline(BC) .

The centroid of a triangle is (-1,-2) and coordinates of its two vertices are (4,6) and (-8-12) . Find the coordinates of its third vertex .

Two vertices of a triangle are (4,-3) & (-2, 5) . If the orthocentre of the triangle is at (1,2) , find coordinates of the third vertex .

The coordinates of the mid-points of the sides of a triangle are ( 4 , 3, 4) , ( 1, 5 , -1) and ( 0 , 4 , - 2) , find the coordinates of the vertices of the triangle .

The coordinate of the vertices B and C of the triangle ABC are (5,2,8) and (2, -3, 4) respectively, if the coordinates of the centroid of the triangle are (3, -1,3), then the coordinates of the vertex A are-

Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of the triangle is the origin, find the coordinates of the third point.

The vertices of the triangle are (0,0) , (3,4) and (4,0) . If the coordinate of its orthocetre be (3,(x)/(4)) , then the value of x is -