Home
Class 12
MATHS
The coordinates of the mid-points of t...

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 .

Text Solution

Verified by Experts

The correct Answer is:
`(x_1 , y_(1) , z_(1))= (-1 , 6 , - 7) ; ( x_(2), y_(2), z_(2) ) = ( 1, 2 , 3) `
and ` (x_(3),y_(3) , z_(3)) = ( 3 , 4 , 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 mid-points of the sides of a triangle are ( 3 , - 1 , -1) , ( 1 , 3 , - 4) and ( 0 , 1 , - 2) , find the coordinates of the vertices .

The coordinates of the vertices of a triangle are ( 4 , 6 , 0) ,( 0 , - 3 , 7) and ( - 4 , 0 , -1) , then the coordinates of the centroid of the triangle are _

The cordinates of the mid points of the sides BC, CA and AB of the triangle ABC are (5,2,8), (2,-2,-3) and (2,-3,4) , find the coordinates of the centroid of the triangle.

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

The coordinates of the mid -point of the sides of a triangle are (0,1) (1,1)and (1,0),find the coordinates of the triangle.

If the midpoints of the sides of a triangle are (2,1),(-1,-3),a n d(4,5), then find the coordinates of its vertices.

If the middle points of the sides of a triangle are (-2,3),(4,-3),a n d(4,5) , then find the centroid of the triangle.

The midpoints of the sides of a triangle are (1,5,-1), (0,4,-2) & (2,3,4). Find its vertices

The coordinate of the mid-point of the line segment joining the points (4,5,3) & (-2,1,-1) is

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.